desarrollo.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Parámetros del sistema\n",
    "padron = 109932\n",
    "m = padron / 200\n",
    "k = 25000\n",
    "l_inicial = 0\n",
    "c_inicial = 0.1\n",
    "t_final = 5\n",
    "h = 0.005"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Solución analítica de la ecuación diferencial\n",
    "def sol_analitica(t):\n",
    "\treturn 0.1 - 0.1 * np.cos(((k/m)**0.5)*t)\n",
    "\n",
    "def f_sin_amortiguar(y, v):\n",
    "\treturn ((k/m) * (c_inicial - y))\n",
    "\n",
    "# Para el caso de beta = 1 aplico el método de Euler implícito\n",
    "\n",
    "# Defino la inversa de la matriz A y el término independiente para tener un sistema de tipo: Ax = b (termino_indep es b)\n",
    "\n",
    "# Matriz inversa para la solución sin amortiguación\n",
    "beta = 0.5\n",
    "l = l_inicial\n",
    "cp = 0 # c' (como el sistema no tiene amortiguación c' = 0)\n",
    "\n",
    "divisor = (m + (h**2) * k * (beta**2) + (h * beta * l))\n",
    "A_inversa = np.array([[((m+(h*beta*l))/divisor) , ((h*m*beta)/divisor)], \n",
    "                        [(((-h*k*beta))/divisor) , (m/divisor)]])\n",
    "\n",
    "termino_indep = np.array([0 , (h * beta) * (k * (c_inicial/m) + l * (cp/m))])\n",
    "\n",
    "# Vector de tiempo\n",
    "t = np.arange(0, t_final+h, h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def euler_implicito(A_inversa, termino_indep, t):\n",
    "        # número de pasos en 5 segundos\n",
    "\tcantidad = len(t)\n",
    "\t\n",
    "\t# Inicialización de variables\n",
    "\tu = np.zeros((2, cantidad))\n",
    "\n",
    "        # Bucle para resolver sistema\n",
    "\tfor n in range(cantidad - 1):\n",
    "\t\taux = A_inversa @ u[:,n] + termino_indep\n",
    "\t\tprint(\"solucion actual:\", u[:, n])\n",
    "\t\tu[:,(n+1)] = aux\n",
    "\n",
    "\t\n",
    "\tprint(\"soluciones:\", u[0])\n",
    "\treturn u[0], t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ponderado_implicito(beta, h, f, A_inversa, termino_indep, t):\n",
    "        # número de pasos en 5 segundos\n",
    "\tcantidad = len(t)\n",
    "\t\n",
    "\t# Inicialización de variables\n",
    "\tu = np.zeros((2, cantidad))\n",
    "\n",
    "        # Bucle para resolver sistema\n",
    "\tfor n in range(cantidad - 1):\n",
    "\t\ttermino_indep = np.array([h * ((1 - beta) * u[1][n]), \n",
    "\t\t\t     (h * beta) * (k * (c_inicial/m) +  0 * (0/m)) + h * (1 - beta) * f(u[0][n], u[1][n])])\n",
    "                \n",
    "\t\taux = A_inversa @ u[:,n] + termino_indep\n",
    "\t\tprint(f\"solucion actual: {u[:, n]}\")\n",
    "\t\tu[:,(n+1)] = aux\n",
    "\n",
    "\t\n",
    "\tprint(f\"soluciones:u = {u[0]} \\n v = {u[1]}\")\n",
    "\treturn u[0], t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "solucion actual: [0. 0.]\n",
      "solucion actual: [0.         0.02274133]\n",
      "solucion actual: [0.00011358 0.04545683]\n",
      "solucion actual: [0.00034047 0.06812074]\n",
      "solucion actual: [0.0006803  0.09070736]\n",
      "solucion actual: [0.00113255 0.11319113]\n",
      "solucion actual: [0.00169658 0.13554664]\n",
      "solucion actual: [0.00237162 0.15774863]\n",
      "solucion actual: [0.00315677 0.17977207]\n",
      "solucion actual: [0.00405102 0.20159214]\n",
      "solucion actual: [0.00505324 0.2231843 ]\n",
      "solucion actual: [0.00616215 0.24452428]\n",
      "solucion actual: [0.00737639 0.26558812]\n",
      "solucion actual: [0.00869444 0.28635222]\n",
      "solucion actual: [0.0101147  0.30679333]\n",
      "solucion actual: [0.01163544 0.32688861]\n",
      "solucion actual: [0.01325481 0.34661562]\n",
      "solucion actual: [0.01497087 0.36595237]\n",
      "solucion actual: [0.01678155 0.38487736]\n",
      "solucion actual: [0.01868469 0.40336954]\n",
      "solucion actual: [0.02067802 0.42140842]\n",
      "solucion actual: [0.02275919 0.43897401]\n",
      "solucion actual: [0.02492571 0.4560469 ]\n",
      "solucion actual: [0.02717505 0.47260826]\n",
      "solucion actual: [0.02950454 0.48863987]\n",
      "solucion actual: [0.03191145 0.50412411]\n",
      "solucion actual: [0.03439297 0.51904402]\n",
      "solucion actual: [0.03694618 0.5333833 ]\n",
      "solucion actual: [0.0395681  0.54712632]\n",
      "solucion actual: [0.04225569 0.56025814]\n",
      "solucion actual: [0.0450058  0.57276456]\n",
      "solucion actual: [0.04781526 0.58463206]\n",
      "solucion actual: [0.05068079 0.59584791]\n",
      "solucion actual: [0.05359908 0.60640009]\n",
      "solucion actual: [0.05656676 0.61627739]\n",
      "solucion actual: [0.0595804  0.62546934]\n",
      "solucion actual: [0.06263653 0.63396629]\n",
      "solucion actual: [0.06573162 0.64175938]\n",
      "solucion actual: [0.06886211 0.64884055]\n",
      "solucion actual: [0.07202442 0.65520257]\n",
      "solucion actual: [0.07521491 0.66083903]\n",
      "solucion actual: [0.07842992 0.66574435]\n",
      "solucion actual: [0.08166579 0.66991379]\n",
      "solucion actual: [0.0849188  0.67334346]\n",
      "solucion actual: [0.08818524 0.67603029]\n",
      "solucion actual: [0.0914614  0.67797209]\n",
      "solucion actual: [0.09474353 0.67916748]\n",
      "solucion actual: [0.0980279  0.67961596]\n",
      "solucion actual: [0.10131078 0.67931787]\n",
      "solucion actual: [0.10458845 0.6782744 ]\n",
      "solucion actual: [0.10785718 0.67648757]\n",
      "solucion actual: [0.11111327 0.67396026]\n",
      "solucion actual: [0.11435305 0.67069619]\n",
      "solucion actual: [0.11757284 0.66669989]\n",
      "solucion actual: [0.12076902 0.66197674]\n",
      "solucion actual: [0.12393798 0.65653292]\n",
      "solucion actual: [0.12707615 0.65037545]\n",
      "solucion actual: [0.13018    0.64351211]\n",
      "solucion actual: [0.13324605 0.63595152]\n",
      "solucion actual: [0.13627086 0.62770304]\n",
      "solucion actual: [0.13925104 0.61877684]\n",
      "solucion actual: [0.14218325 0.6091838 ]\n",
      "solucion actual: [0.14506422 0.5989356 ]\n",
      "solucion actual: [0.14789074 0.58804461]\n",
      "solucion actual: [0.15065965 0.57652393]\n",
      "solucion actual: [0.15336788 0.56438736]\n",
      "solucion actual: [0.15601242 0.55164939]\n",
      "solucion actual: [0.15859034 0.53832517]\n",
      "solucion actual: [0.16109879 0.52443049]\n",
      "solucion actual: [0.16353499 0.50998179]\n",
      "solucion actual: [0.16589626 0.4949961 ]\n",
      "solucion actual: [0.16818001 0.47949106]\n",
      "solucion actual: [0.17038373 0.46348487]\n",
      "solucion actual: [0.172505   0.44699626]\n",
      "solucion actual: [0.17454152 0.43004453]\n",
      "solucion actual: [0.17649106 0.41264944]\n",
      "solucion actual: [0.17835151 0.39483127]\n",
      "solucion actual: [0.18012086 0.37661072]\n",
      "solucion actual: [0.18179719 0.35800895]\n",
      "solucion actual: [0.18337873 0.33904752]\n",
      "solucion actual: [0.18486376 0.31974837]\n",
      "solucion actual: [0.18625072 0.30013381]\n",
      "solucion actual: [0.18753815 0.28022647]\n",
      "solucion actual: [0.18872469 0.26004929]\n",
      "solucion actual: [0.18980911 0.2396255 ]\n",
      "solucion actual: [0.1907903  0.21897858]\n",
      "solucion actual: [0.19166725 0.19813223]\n",
      "solucion actual: [0.19243909 0.17711035]\n",
      "solucion actual: [0.19310507 0.15593702]\n",
      "solucion actual: [0.19366455 0.13463645]\n",
      "solucion actual: [0.19411701 0.11323299]\n",
      "solucion actual: [0.19446206 0.09175106]\n",
      "solucion actual: [0.19469942 0.07021515]\n",
      "solucion actual: [0.19482897 0.04864978]\n",
      "solucion actual: [0.19485066 0.02707948]\n",
      "solucion actual: [0.1947646  0.00552875]\n",
      "solucion actual: [ 0.194571   -0.01597795]\n",
      "solucion actual: [ 0.19427021 -0.03741625]\n",
      "solucion actual: [ 0.19386269 -0.05876188]\n",
      "solucion actual: [ 0.19334903 -0.07999069]\n",
      "solucion actual: [ 0.19272993 -0.10107871]\n",
      "solucion actual: [ 0.19200622 -0.12200215]\n",
      "solucion actual: [ 0.19117882 -0.14273743]\n",
      "solucion actual: [ 0.19024881 -0.16326121]\n",
      "solucion actual: [ 0.18921735 -0.18355042]\n",
      "solucion actual: [ 0.18808573 -0.20358229]\n",
      "solucion actual: [ 0.18685536 -0.22333436]\n",
      "solucion actual: [ 0.18552773 -0.2427845 ]\n",
      "solucion actual: [ 0.18410446 -0.26191097]\n",
      "solucion actual: [ 0.1825873  -0.28069243]\n",
      "solucion actual: [ 0.18097805 -0.29910791]\n",
      "solucion actual: [ 0.17927866 -0.31713693]\n",
      "solucion actual: [ 0.17749115 -0.33475945]\n",
      "solucion actual: [ 0.17561767 -0.35195592]\n",
      "solucion actual: [ 0.17366042 -0.36870728]\n",
      "solucion actual: [ 0.17162174 -0.38499502]\n",
      "solucion actual: [ 0.16950403 -0.40080116]\n",
      "solucion actual: [ 0.16730978 -0.4161083 ]\n",
      "solucion actual: [ 0.16504158 -0.43089962]\n",
      "solucion actual: [ 0.16270208 -0.44515891]\n",
      "solucion actual: [ 0.16029402 -0.45887057]\n",
      "solucion actual: [ 0.15782021 -0.47201965]\n",
      "solucion actual: [ 0.15528355 -0.48459187]\n",
      "solucion actual: [ 0.15268697 -0.49657359]\n",
      "solucion actual: [ 0.15003351 -0.50795187]\n",
      "solucion actual: [ 0.14732623 -0.51871449]\n",
      "solucion actual: [ 0.14456827 -0.5288499 ]\n",
      "solucion actual: [ 0.14176283 -0.53834733]\n",
      "solucion actual: [ 0.13891314 -0.54719669]\n",
      "solucion actual: [ 0.13602249 -0.55538868]\n",
      "solucion actual: [ 0.13309421 -0.56291475]\n",
      "solucion actual: [ 0.13013166 -0.56976709]\n",
      "solucion actual: [ 0.12713826 -0.57593869]\n",
      "solucion actual: [ 0.12411744 -0.58142332]\n",
      "solucion actual: [ 0.12107266 -0.58621552]\n",
      "solucion actual: [ 0.1180074  -0.59031064]\n",
      "solucion actual: [ 0.11492517 -0.59370482]\n",
      "solucion actual: [ 0.11182948 -0.59639501]\n",
      "solucion actual: [ 0.10872388 -0.59837893]\n",
      "solucion actual: [ 0.1056119  -0.59965515]\n",
      "solucion actual: [ 0.10249708 -0.60022302]\n",
      "solucion actual: [ 0.09938296 -0.6000827 ]\n",
      "solucion actual: [ 0.09627308 -0.59923515]\n",
      "solucion actual: [ 0.09317096 -0.59768213]\n",
      "solucion actual: [ 0.09008012 -0.59542622]\n",
      "solucion actual: [ 0.08700406 -0.59247077]\n",
      "solucion actual: [ 0.08394625 -0.58881994]\n",
      "solucion actual: [ 0.08091015 -0.58447865]\n",
      "solucion actual: [ 0.07789918 -0.57945263]\n",
      "solucion actual: [ 0.07491674 -0.57374836]\n",
      "solucion actual: [ 0.07196616 -0.5673731 ]\n",
      "solucion actual: [ 0.06905078 -0.56033483]\n",
      "solucion actual: [ 0.06617387 -0.55264232]\n",
      "solucion actual: [ 0.06333863 -0.54430504]\n",
      "solucion actual: [ 0.06054826 -0.53533319]\n",
      "solucion actual: [ 0.05780587 -0.52573768]\n",
      "solucion actual: [ 0.05511451 -0.51553012]\n",
      "solucion actual: [ 0.05247719 -0.5047228 ]\n",
      "solucion actual: [ 0.04989684 -0.49332867]\n",
      "solucion actual: [ 0.04737632 -0.48136135]\n",
      "solucion actual: [ 0.04491844 -0.46883507]\n",
      "solucion actual: [ 0.04252591 -0.4557647 ]\n",
      "solucion actual: [ 0.04020138 -0.44216569]\n",
      "solucion actual: [ 0.0379474  -0.42805411]\n",
      "solucion actual: [ 0.03576646 -0.41344655]\n",
      "solucion actual: [ 0.03366095 -0.39836016]\n",
      "solucion actual: [ 0.03163318 -0.38281264]\n",
      "solucion actual: [ 0.02968537 -0.36682215]\n",
      "solucion actual: [ 0.02781962 -0.35040738]\n",
      "solucion actual: [ 0.02603798 -0.33358743]\n",
      "solucion actual: [ 0.02434236 -0.31638187]\n",
      "solucion actual: [ 0.0227346  -0.29881069]\n",
      "solucion actual: [ 0.02121642 -0.28089426]\n",
      "solucion actual: [ 0.01978945 -0.26265331]\n",
      "solucion actual: [ 0.0184552  -0.24410894]\n",
      "solucion actual: [ 0.01721508 -0.22528255]\n",
      "solucion actual: [ 0.01607039 -0.20619584]\n",
      "solucion actual: [ 0.01502233 -0.18687079]\n",
      "solucion actual: [ 0.01407198 -0.16732961]\n",
      "solucion actual: [ 0.0132203  -0.14759475]\n",
      "solucion actual: [ 0.01246815 -0.12768884]\n",
      "solucion actual: [ 0.01181627 -0.10763469]\n",
      "solucion actual: [ 0.01126528 -0.08745523]\n",
      "solucion actual: [ 0.01081571 -0.06717354]\n",
      "solucion actual: [ 0.01046794 -0.04681276]\n",
      "solucion actual: [ 0.01022225 -0.0263961 ]\n",
      "solucion actual: [ 0.01007881 -0.00594683]\n",
      "solucion actual: [0.01003766 0.0145118 ]\n",
      "solucion actual: [0.01009874 0.03495655]\n",
      "solucion actual: [0.01026185 0.0553642 ]\n",
      "solucion actual: [0.01052671 0.07571161]\n",
      "solucion actual: [0.01089288 0.09597576]\n",
      "solucion actual: [0.01135984 0.11613371]\n",
      "solucion actual: [0.01192695 0.1361627 ]\n",
      "solucion actual: [0.01259344 0.15604011]\n",
      "solucion actual: [0.01335845 0.17574355]\n",
      "solucion actual: [0.014221   0.19525084]\n",
      "solucion actual: [0.01517999 0.21454004]\n",
      "solucion actual: [0.01623423 0.23358949]\n",
      "solucion actual: [0.01738242 0.25237783]\n",
      "solucion actual: [0.01862313 0.27088401]\n",
      "solucion actual: [0.01995486 0.28908734]\n",
      "solucion actual: [0.02137599 0.30696748]\n",
      "solucion actual: [0.02288481 0.32450451]\n",
      "solucion actual: [0.02447949 0.34167887]\n",
      "solucion actual: [0.02615815 0.3584715 ]\n",
      "solucion actual: [0.02791876 0.37486373]\n",
      "solucion actual: [0.02975924 0.39083741]\n",
      "solucion actual: [0.03167741 0.40637488]\n",
      "solucion actual: [0.03367099 0.42145898]\n",
      "solucion actual: [0.03573765 0.43607309]\n",
      "solucion actual: [0.03787495 0.45020116]\n",
      "solucion actual: [0.04008038 0.46382767]\n",
      "solucion actual: [0.04235137 0.47693774]\n",
      "solucion actual: [0.04468524 0.48951705]\n",
      "solucion actual: [0.0470793  0.50155193]\n",
      "solucion actual: [0.04953074 0.51302931]\n",
      "solucion actual: [0.05203671 0.5239368 ]\n",
      "solucion actual: [0.05459432 0.53426265]\n",
      "solucion actual: [0.05720059 0.54399581]\n",
      "solucion actual: [0.05985252 0.55312588]\n",
      "solucion actual: [0.06254703 0.56164318]\n",
      "solucion actual: [0.06528101 0.56953874]\n",
      "solucion actual: [0.06805133 0.5768043 ]\n",
      "solucion actual: [0.07085478 0.58343231]\n",
      "solucion actual: [0.07368816 0.58941597]\n",
      "solucion actual: [0.07654819 0.59474923]\n",
      "solucion actual: [0.07943162 0.59942675]\n",
      "solucion actual: [0.08233513 0.60344397]\n",
      "solucion actual: [0.08525541 0.60679709]\n",
      "solucion actual: [0.08818912 0.60948304]\n",
      "solucion actual: [0.09113291 0.61149953]\n",
      "solucion actual: [0.09408343 0.61284504]\n",
      "solucion actual: [0.09703732 0.61351879]\n",
      "solucion actual: [0.09999122 0.61352079]\n",
      "solucion actual: [0.10294177 0.61285179]\n",
      "solucion actual: [0.10588563 0.61151332]\n",
      "solucion actual: [0.10881946 0.60950766]\n",
      "solucion actual: [0.11173994 0.60683784]\n",
      "solucion actual: [0.11464377 0.60350765]\n",
      "solucion actual: [0.11752768 0.59952162]\n",
      "solucion actual: [0.12038839 0.59488503]\n",
      "solucion actual: [0.12322271 0.58960388]\n",
      "solucion actual: [0.12602742 0.5836849 ]\n",
      "solucion actual: [0.1287994  0.57713553]\n",
      "solucion actual: [0.13153551 0.56996394]\n",
      "solucion actual: [0.1342327  0.56217897]\n",
      "solucion actual: [0.13688794 0.55379016]\n",
      "solucion actual: [0.13949827 0.54480772]\n",
      "solucion actual: [0.14206078 0.53524254]\n",
      "solucion actual: [0.1445726  0.52510614]\n",
      "solucion actual: [0.14703095 0.51441068]\n",
      "solucion actual: [0.14943309 0.50316893]\n",
      "solucion actual: [0.15177635 0.4913943 ]\n",
      "solucion actual: [0.15405815 0.47910076]\n",
      "solucion actual: [0.15627596 0.46630286]\n",
      "solucion actual: [0.15842733 0.4530157 ]\n",
      "solucion actual: [0.1605099  0.43925495]\n",
      "solucion actual: [0.16252137 0.42503676]\n",
      "solucion actual: [0.16445956 0.41037779]\n",
      "solucion actual: [0.16632233 0.39529521]\n",
      "solucion actual: [0.16810765 0.37980663]\n",
      "solucion actual: [0.1698136  0.36393009]\n",
      "solucion actual: [0.17143831 0.34768406]\n",
      "solucion actual: [0.17298004 0.33108743]\n",
      "solucion actual: [0.17443713 0.31415944]\n",
      "solucion actual: [0.17580802 0.29691968]\n",
      "solucion actual: [0.17709126 0.27938811]\n",
      "solucion actual: [0.17828548 0.26158495]\n",
      "solucion actual: [0.17938942 0.24353074]\n",
      "solucion actual: [0.18040195 0.22524626]\n",
      "solucion actual: [0.181322   0.20675256]\n",
      "solucion actual: [0.18214865 0.18807086]\n",
      "solucion actual: [0.18288106 0.1692226 ]\n",
      "solucion actual: [0.1835185  0.15022939]\n",
      "solucion actual: [0.18406036 0.13111294]\n",
      "solucion actual: [0.18450612 0.11189513]\n",
      "solucion actual: [0.18485541 0.09259788]\n",
      "solucion actual: [0.18510792 0.0732432 ]\n",
      "solucion actual: [0.18526348 0.05385315]\n",
      "solucion actual: [0.18532202 0.03444979]\n",
      "solucion actual: [0.18528359 0.01505517]\n",
      "solucion actual: [ 0.18514834 -0.0043087 ]\n",
      "solucion actual: [ 0.18491653 -0.02361985]\n",
      "solucion actual: [ 0.18458854 -0.04285641]\n",
      "solucion actual: [ 0.18416485 -0.06199661]\n",
      "solucion actual: [ 0.18364605 -0.08101884]\n",
      "solucion actual: [ 0.18303284 -0.09990161]\n",
      "solucion actual: [ 0.18232601 -0.11862364]\n",
      "solucion actual: [ 0.18152649 -0.13716385]\n",
      "solucion actual: [ 0.18063527 -0.15550138]\n",
      "solucion actual: [ 0.17965349 -0.17361565]\n",
      "solucion actual: [ 0.17858235 -0.19148632]\n",
      "solucion actual: [ 0.17742318 -0.20909338]\n",
      "solucion actual: [ 0.17617738 -0.22641713]\n",
      "solucion actual: [ 0.17484649 -0.24343822]\n",
      "solucion actual: [ 0.17343209 -0.26013765]\n",
      "solucion actual: [ 0.1719359  -0.27649684]\n",
      "solucion actual: [ 0.17035971 -0.29249757]\n",
      "solucion actual: [ 0.16870539 -0.30812209]\n",
      "solucion actual: [ 0.16697492 -0.32335308]\n",
      "solucion actual: [ 0.16517034 -0.33817368]\n",
      "solucion actual: [ 0.1632938  -0.35256753]\n",
      "solucion actual: [ 0.1613475  -0.36651877]\n",
      "solucion actual: [ 0.15933373 -0.38001205]\n",
      "solucion actual: [ 0.15725486 -0.39303257]\n",
      "solucion actual: [ 0.15511332 -0.40556607]\n",
      "solucion actual: [ 0.15291162 -0.41759888]\n",
      "solucion actual: [ 0.15065233 -0.42911789]\n",
      "solucion actual: [ 0.14833807 -0.44011061]\n",
      "solucion actual: [ 0.14597153 -0.45056515]\n",
      "solucion actual: [ 0.14355548 -0.46047024]\n",
      "solucion actual: [ 0.14109269 -0.46981527]\n",
      "solucion actual: [ 0.13858604 -0.47859025]\n",
      "solucion actual: [ 0.1360384  -0.48678586]\n",
      "solucion actual: [ 0.13345273 -0.49439345]\n",
      "solucion actual: [ 0.13083199 -0.50140506]\n",
      "solucion actual: [ 0.12817922 -0.50781339]\n",
      "solucion actual: [ 0.12549745 -0.51361185]\n",
      "solucion actual: [ 0.12278977 -0.51879455]\n",
      "solucion actual: [ 0.12005929 -0.52335629]\n",
      "solucion actual: [ 0.11730912 -0.52729262]\n",
      "solucion actual: [ 0.11454241 -0.53059976]\n",
      "solucion actual: [ 0.11176233 -0.53327467]\n",
      "solucion actual: [ 0.10897205 -0.53531503]\n",
      "solucion actual: [ 0.10617475 -0.53671925]\n",
      "solucion actual: [ 0.10337361 -0.53748645]\n",
      "solucion actual: [ 0.10057182 -0.53761649]\n",
      "solucion actual: [ 0.09777256 -0.53710994]\n",
      "solucion actual: [ 0.09497901 -0.5359681 ]\n",
      "solucion actual: [ 0.09219434 -0.53419299]\n",
      "solucion actual: [ 0.0894217  -0.53178735]\n",
      "solucion actual: [ 0.08666422 -0.52875461]\n",
      "solucion actual: [ 0.08392502 -0.52509895]\n",
      "solucion actual: [ 0.08120719 -0.52082521]\n",
      "solucion actual: [ 0.07851378 -0.51593896]\n",
      "solucion actual: [ 0.07584785 -0.51044644]\n",
      "solucion actual: [ 0.07321237 -0.50435458]\n",
      "solucion actual: [ 0.0706103  -0.49767097]\n",
      "solucion actual: [ 0.06804458 -0.49040388]\n",
      "solucion actual: [ 0.06551806 -0.48256223]\n",
      "solucion actual: [ 0.06303358 -0.47415557]\n",
      "solucion actual: [ 0.0605939 -0.4651941]\n",
      "solucion actual: [ 0.05820175 -0.45568862]\n",
      "solucion actual: [ 0.05585979 -0.44565055]\n",
      "solucion actual: [ 0.05357062 -0.43509189]\n",
      "solucion actual: [ 0.05133679 -0.42402523]\n",
      "solucion actual: [ 0.04916077 -0.41246371]\n",
      "solucion actual: [ 0.04704495 -0.40042103]\n",
      "solucion actual: [ 0.04499169 -0.38791141]\n",
      "solucion actual: [ 0.04300324 -0.37494959]\n",
      "solucion actual: [ 0.04108178 -0.3615508 ]\n",
      "solucion actual: [ 0.03922941 -0.34773076]\n",
      "solucion actual: [ 0.03744818 -0.33350564]\n",
      "solucion actual: [ 0.03574001 -0.31889206]\n",
      "solucion actual: [ 0.03410677 -0.30390707]\n",
      "solucion actual: [ 0.03255022 -0.28856809]\n",
      "solucion actual: [ 0.03107205 -0.27289296]\n",
      "solucion actual: [ 0.02967385 -0.25689985]\n",
      "solucion actual: [ 0.0283571  -0.24060731]\n",
      "solucion actual: [ 0.02712323 -0.22403416]\n",
      "solucion actual: [ 0.02597352 -0.20719955]\n",
      "solucion actual: [ 0.0249092 -0.1901229]\n",
      "solucion actual: [ 0.02393137 -0.17282389]\n",
      "solucion actual: [ 0.02304106 -0.1553224 ]\n",
      "solucion actual: [ 0.02223916 -0.13763855]\n",
      "solucion actual: [ 0.02152649 -0.11979262]\n",
      "solucion actual: [ 0.02090375 -0.10180509]\n",
      "solucion actual: [ 0.02037157 -0.08369652]\n",
      "solucion actual: [ 0.01993042 -0.06548763]\n",
      "solucion actual: [ 0.01958072 -0.04719922]\n",
      "solucion actual: [ 0.01932275 -0.02885214]\n",
      "solucion actual: [ 0.01915671 -0.0104673 ]\n",
      "solucion actual: [0.01908267 0.00793438]\n",
      "solucion actual: [0.01910063 0.02633198]\n",
      "solucion actual: [0.01921044 0.0447046 ]\n",
      "solucion actual: [0.01941189 0.06303141]\n",
      "solucion actual: [0.01970464 0.08129164]\n",
      "solucion actual: [0.02008826 0.09946463]\n",
      "solucion actual: [0.0205622  0.11752984]\n",
      "solucion actual: [0.02112583 0.13546688]\n",
      "solucion actual: [0.0217784  0.15325551]\n",
      "solucion actual: [0.02251907 0.17087571]\n",
      "solucion actual: [0.0233469  0.18830764]\n",
      "solucion actual: [0.02426086 0.20553173]\n",
      "solucion actual: [0.02525979 0.22252865]\n",
      "solucion actual: [0.02634248 0.23927935]\n",
      "solucion actual: [0.0275076  0.25576508]\n",
      "solucion actual: [0.02875373 0.27196743]\n",
      "solucion actual: [0.03007937 0.28786832]\n",
      "solucion actual: [0.03148291 0.30345001]\n",
      "solucion actual: [0.03296268 0.31869519]\n",
      "solucion actual: [0.03451691 0.33358692]\n",
      "solucion actual: [0.03614375 0.34810868]\n",
      "solucion actual: [0.03784126 0.36224441]\n",
      "solucion actual: [0.03960745 0.37597848]\n",
      "solucion actual: [0.04144022 0.38929575]\n",
      "solucion actual: [0.04333742 0.40218158]\n",
      "solucion actual: [0.04529682 0.41462181]\n",
      "solucion actual: [0.04731613 0.42660282]\n",
      "solucion actual: [0.04939298 0.43811153]\n",
      "solucion actual: [0.05152495 0.4491354 ]\n",
      "solucion actual: [0.05370956 0.45966246]\n",
      "solucion actual: [0.05594426 0.46968133]\n",
      "solucion actual: [0.05822646 0.47918119]\n",
      "solucion actual: [0.06055351 0.48815184]\n",
      "solucion actual: [0.06292272 0.49658371]\n",
      "solucion actual: [0.06533135 0.50446782]\n",
      "solucion actual: [0.06777663 0.51179585]\n",
      "solucion actual: [0.07025572 0.51856009]\n",
      "solucion actual: [0.07276578 0.52475352]\n",
      "solucion actual: [0.07530392 0.53036973]\n",
      "solucion actual: [0.07786723 0.53540302]\n",
      "solucion actual: [0.08045277 0.53984832]\n",
      "solucion actual: [0.08305756 0.54370126]\n",
      "solucion actual: [0.08567865 0.54695812]\n",
      "solucion actual: [0.08831302 0.5496159 ]\n",
      "solucion actual: [0.09095768 0.55167224]\n",
      "solucion actual: [0.0936096 0.5531255]\n",
      "solucion actual: [0.09626576 0.55397472]\n",
      "solucion actual: [0.09892316 0.55421961]\n",
      "solucion actual: [0.10157875 0.55386058]\n",
      "solucion actual: [0.10422954 0.55289872]\n",
      "solucion actual: [0.10687251 0.55133582]\n",
      "solucion actual: [0.10950468 0.54917433]\n",
      "solucion actual: [0.11212306 0.54641739]\n",
      "solucion actual: [0.11472469 0.5430688 ]\n",
      "solucion actual: [0.11730665 0.53913304]\n",
      "solucion actual: [0.11986602 0.53461524]\n",
      "solucion actual: [0.12239992 0.5295212 ]\n",
      "solucion actual: [0.1249055  0.52385736]\n",
      "solucion actual: [0.12737995 0.51763079]\n",
      "solucion actual: [0.12982049 0.51084921]\n",
      "solucion actual: [0.13222439 0.50352096]\n",
      "solucion actual: [0.13458895 0.49565497]\n",
      "solucion actual: [0.13691155 0.48726079]\n",
      "solucion actual: [0.13918959 0.47834856]\n",
      "solucion actual: [0.14142053 0.46892898]\n",
      "solucion actual: [0.14360189 0.45901333]\n",
      "solucion actual: [0.14573125 0.44861344]\n",
      "solucion actual: [0.14780625 0.43774166]\n",
      "solucion actual: [0.1498246  0.42641088]\n",
      "solucion actual: [0.15178406 0.4146345 ]\n",
      "solucion actual: [0.15368249 0.40242639]\n",
      "solucion actual: [0.15551778 0.3898009 ]\n",
      "solucion actual: [0.15728794 0.37677286]\n",
      "solucion actual: [0.15899102 0.36335752]\n",
      "solucion actual: [0.16062517 0.34957055]\n",
      "solucion actual: [0.1621886  0.33542803]\n",
      "solucion actual: [0.16367963 0.32094644]\n",
      "solucion actual: [0.16509664 0.3061426 ]\n",
      "solucion actual: [0.1664381  0.29103369]\n",
      "solucion actual: [0.16770258 0.27563722]\n",
      "solucion actual: [0.16888872 0.25997101]\n",
      "solucion actual: [0.16999528 0.24405315]\n",
      "solucion actual: [0.17102109 0.22790201]\n",
      "solucion actual: [0.17196506 0.2115362 ]\n",
      "solucion actual: [0.17282623 0.19497454]\n",
      "solucion actual: [0.1736037  0.17823608]\n",
      "solucion actual: [0.17429669 0.16134002]\n",
      "solucion actual: [0.17490452 0.14430574]\n",
      "solucion actual: [0.17542657 0.12715273]\n",
      "solucion actual: [0.17586237 0.10990062]\n",
      "solucion actual: [0.17621151 0.09256911]\n",
      "solucion actual: [0.17647369 0.07517797]\n",
      "solucion actual: [0.17664872 0.05774703]\n",
      "solucion actual: [0.17673649 0.04029613]\n",
      "solucion actual: [0.17673701 0.02284512]\n",
      "solucion actual: [0.17665038 0.0054138 ]\n",
      "solucion actual: [ 0.17647678 -0.01197804]\n",
      "solucion actual: [ 0.17621652 -0.02931069]\n",
      "solucion actual: [ 0.17586999 -0.04656453]\n",
      "solucion actual: [ 0.17543768 -0.06372007]\n",
      "solucion actual: [ 0.17492019 -0.08075791]\n",
      "solucion actual: [ 0.17431819 -0.09765886]\n",
      "solucion actual: [ 0.17363246 -0.11440386]\n",
      "solucion actual: [ 0.17286388 -0.13097408]\n",
      "solucion actual: [ 0.17201342 -0.14735089]\n",
      "solucion actual: [ 0.17108214 -0.16351591]\n",
      "solucion actual: [ 0.17007117 -0.17945103]\n",
      "solucion actual: [ 0.16898177 -0.1951384 ]\n",
      "solucion actual: [ 0.16781527 -0.2105605 ]\n",
      "solucion actual: [ 0.16657306 -0.2257001 ]\n",
      "solucion actual: [ 0.16525665 -0.24054033]\n",
      "solucion actual: [ 0.16386762 -0.25506467]\n",
      "solucion actual: [ 0.16240763 -0.269257  ]\n",
      "solucion actual: [ 0.16087841 -0.28310156]\n",
      "solucion actual: [ 0.15928179 -0.29658303]\n",
      "solucion actual: [ 0.15761965 -0.30968651]\n",
      "solucion actual: [ 0.15589396 -0.32239754]\n",
      "solucion actual: [ 0.15410674 -0.33470213]\n",
      "solucion actual: [ 0.1522601  -0.34658677]\n",
      "solucion actual: [ 0.1503562  -0.35803844]\n",
      "solucion actual: [ 0.14839727 -0.36904463]\n",
      "solucion actual: [ 0.1463856  -0.37959333]\n",
      "solucion actual: [ 0.14432353 -0.38967309]\n",
      "solucion actual: [ 0.14221346 -0.39927299]\n",
      "solucion actual: [ 0.14005784 -0.40838268]\n",
      "solucion actual: [ 0.13785917 -0.41699235]\n",
      "solucion actual: [ 0.13562    -0.42509282]\n",
      "solucion actual: [ 0.13334291 -0.43267544]\n",
      "solucion actual: [ 0.13103054 -0.4397322 ]\n",
      "solucion actual: [ 0.12868556 -0.44625567]\n",
      "solucion actual: [ 0.12631066 -0.45223907]\n",
      "solucion actual: [ 0.12390857 -0.4576762 ]\n",
      "solucion actual: [ 0.12148206 -0.4625615 ]\n",
      "solucion actual: [ 0.1190339  -0.46689006]\n",
      "solucion actual: [ 0.1165669 -0.4706576]\n",
      "solucion actual: [ 0.1140839  -0.47386046]\n",
      "solucion actual: [ 0.11158771 -0.47649566]\n",
      "solucion actual: [ 0.1090812  -0.47856085]\n",
      "solucion actual: [ 0.10656722 -0.48005432]\n",
      "solucion actual: [ 0.10404864 -0.48097504]\n",
      "solucion actual: [ 0.10152832 -0.4813226 ]\n",
      "solucion actual: [ 0.09900913 -0.48109726]\n",
      "solucion actual: [ 0.09649392 -0.48029993]\n",
      "solucion actual: [ 0.09398555 -0.47893216]\n",
      "solucion actual: [ 0.09148687 -0.47699616]\n",
      "solucion actual: [ 0.08900068 -0.47449477]\n",
      "solucion actual: [ 0.08652982 -0.47143148]\n",
      "solucion actual: [ 0.08407706 -0.46781039]\n",
      "solucion actual: [ 0.08164517 -0.46363626]\n",
      "solucion actual: [ 0.0792369  -0.45891445]\n",
      "solucion actual: [ 0.07685493 -0.45365095]\n",
      "solucion actual: [ 0.07450197 -0.44785236]\n",
      "solucion actual: [ 0.07218063 -0.44152587]\n",
      "solucion actual: [ 0.06989353 -0.43467925]\n",
      "solucion actual: [ 0.06764322 -0.42732089]\n",
      "solucion actual: [ 0.06543221 -0.41945971]\n",
      "solucion actual: [ 0.06326298 -0.41110523]\n",
      "solucion actual: [ 0.06113793 -0.40226748]\n",
      "solucion actual: [ 0.05905944 -0.39295705]\n",
      "solucion actual: [ 0.05702981 -0.38318505]\n",
      "solucion actual: [ 0.05505129 -0.37296312]\n",
      "solucion actual: [ 0.05312606 -0.36230336]\n",
      "solucion actual: [ 0.05125627 -0.35121839]\n",
      "solucion actual: [ 0.04944395 -0.33972127]\n",
      "solucion actual: [ 0.04769112 -0.32782553]\n",
      "solucion actual: [ 0.04599969 -0.31554514]\n",
      "solucion actual: [ 0.04437151 -0.30289448]\n",
      "solucion actual: [ 0.04280836 -0.28988834]\n",
      "solucion actual: [ 0.04131194 -0.2765419 ]\n",
      "solucion actual: [ 0.03988388 -0.26287069]\n",
      "solucion actual: [ 0.03852572 -0.24889062]\n",
      "solucion actual: [ 0.03723893 -0.23461792]\n",
      "solucion actual: [ 0.03602487 -0.22006912]\n",
      "solucion actual: [ 0.03488486 -0.20526108]\n",
      "solucion actual: [ 0.0338201  -0.19021089]\n",
      "solucion actual: [ 0.03283171 -0.17493592]\n",
      "solucion actual: [ 0.03192074 -0.15945379]\n",
      "solucion actual: [ 0.03108812 -0.14378231]\n",
      "solucion actual: [ 0.03033472 -0.1279395 ]\n",
      "solucion actual: [ 0.02966129 -0.11194354]\n",
      "solucion actual: [ 0.02906852 -0.09581278]\n",
      "solucion actual: [ 0.02855699 -0.07956569]\n",
      "solucion actual: [ 0.02812718 -0.06322085]\n",
      "solucion actual: [ 0.02777948 -0.04679695]\n",
      "solucion actual: [ 0.02751421 -0.03031271]\n",
      "solucion actual: [ 0.02733157 -0.01378694]\n",
      "solucion actual: [0.02723167 0.00276154]\n",
      "solucion actual: [0.02721454 0.01931392]\n",
      "solucion actual: [0.02728009 0.0358514 ]\n",
      "solucion actual: [0.02742816 0.0523552 ]\n",
      "solucion actual: [0.02765848 0.06880663]\n",
      "solucion actual: [0.02797071 0.08518705]\n",
      "solucion actual: [0.02836439 0.10147794]\n",
      "solucion actual: [0.02883899 0.1176609 ]\n",
      "solucion actual: [0.02939387 0.13371767]\n",
      "solucion actual: [0.03002832 0.14963016]\n",
      "solucion actual: [0.03074151 0.16538046]\n",
      "solucion actual: [0.03153256 0.18095087]\n",
      "solucion actual: [0.03240047 0.1963239 ]\n",
      "solucion actual: [0.03334418 0.21148232]\n",
      "solucion actual: [0.03436252 0.22640916]\n",
      "solucion actual: [0.03545425 0.24108772]\n",
      "solucion actual: [0.03661805 0.25550162]\n",
      "solucion actual: [0.03785252 0.26963479]\n",
      "solucion actual: [0.03915617 0.28347148]\n",
      "solucion actual: [0.04052744 0.29699633]\n",
      "solucion actual: [0.04196471 0.31019433]\n",
      "solucion actual: [0.04346626 0.32305086]\n",
      "solucion actual: [0.04503031 0.3355517 ]\n",
      "solucion actual: [0.04665502 0.34768305]\n",
      "solucion actual: [0.04833847 0.35943157]\n",
      "solucion actual: [0.05007868 0.37078435]\n",
      "solucion actual: [0.05187362 0.38172892]\n",
      "solucion actual: [0.05372118 0.39225334]\n",
      "solucion actual: [0.05561921 0.40234613]\n",
      "solucion actual: [0.05756548 0.4119963 ]\n",
      "solucion actual: [0.05955774 0.42119341]\n",
      "solucion actual: [0.06159367 0.42992752]\n",
      "solucion actual: [0.06367091 0.43818924]\n",
      "solucion actual: [0.06578705 0.44596972]\n",
      "solucion actual: [0.06793965 0.45326067]\n",
      "solucion actual: [0.07012622 0.46005436]\n",
      "solucion actual: [0.07234423 0.46634365]\n",
      "solucion actual: [0.07459113 0.47212197]\n",
      "solucion actual: [0.07686434 0.47738333]\n",
      "solucion actual: [0.07916125 0.48212234]\n",
      "solucion actual: [0.08147921 0.48633421]\n",
      "solucion actual: [0.08381558 0.49001476]\n",
      "solucion actual: [0.08616767 0.49316042]\n",
      "solucion actual: [0.08853281 0.49576821]\n",
      "solucion actual: [0.09090828 0.49783579]\n",
      "solucion actual: [0.09329138 0.49936142]\n",
      "solucion actual: [0.09567939 0.50034398]\n",
      "solucion actual: [0.0980696  0.50078298]\n",
      "solucion actual: [0.10045929 0.50067853]\n",
      "solucion actual: [0.10284574 0.50003138]\n",
      "solucion actual: [0.10522624 0.49884286]\n",
      "solucion actual: [0.10759811 0.49711495]\n",
      "solucion actual: [0.10995866 0.49485021]\n",
      "solucion actual: [0.11230521 0.49205185]\n",
      "solucion actual: [0.11463512 0.48872362]\n",
      "solucion actual: [0.11694576 0.48486993]\n",
      "solucion actual: [0.11923454 0.48049574]\n",
      "solucion actual: [0.12149886 0.47560661]\n",
      "solucion actual: [0.1237362  0.47020869]\n",
      "solucion actual: [0.12594404 0.46430867]\n",
      "solucion actual: [0.1281199  0.45791383]\n",
      "solucion actual: [0.13026135 0.45103199]\n",
      "solucion actual: [0.132366   0.44367153]\n",
      "solucion actual: [0.1344315  0.43584135]\n",
      "solucion actual: [0.13645555 0.42755087]\n",
      "solucion actual: [0.13843589 0.41881004]\n",
      "solucion actual: [0.14037033 0.40962929]\n",
      "solucion actual: [0.14225673 0.40001955]\n",
      "solucion actual: [0.14409298 0.38999222]\n",
      "solucion actual: [0.14587707 0.37955916]\n",
      "solucion actual: [0.14760703 0.36873269]\n",
      "solucion actual: [0.14928095 0.35752555]\n",
      "solucion actual: [0.15089699 0.34595089]\n",
      "solucion actual: [0.1524534  0.33402229]\n",
      "solucion actual: [0.15394846 0.32175369]\n",
      "solucion actual: [0.15538055 0.30915942]\n",
      "solucion actual: [0.15674812 0.29625414]\n",
      "solucion actual: [0.15804967 0.28305287]\n",
      "solucion actual: [0.15928382 0.26957094]\n",
      "solucion actual: [0.16044923 0.25582398]\n",
      "solucion actual: [0.16154467 0.24182791]\n",
      "solucion actual: [0.16256896 0.22759889]\n",
      "solucion actual: [0.16352102 0.21315337]\n",
      "solucion actual: [0.16439985 0.19850798]\n",
      "solucion actual: [0.16520454 0.1836796 ]\n",
      "solucion actual: [0.16593426 0.16868528]\n",
      "solucion actual: [0.16658826 0.15354222]\n",
      "solucion actual: [0.1671659 0.1382678]\n",
      "solucion actual: [0.16766659 0.12287952]\n",
      "solucion actual: [0.16808986 0.10739498]\n",
      "solucion actual: [0.16843531 0.09183188]\n",
      "solucion actual: [0.16870264 0.07620798]\n",
      "solucion actual: [0.16889164 0.06054111]\n",
      "solucion actual: [0.16900218 0.04484909]\n",
      "solucion actual: [0.16903422 0.02914979]\n",
      "solucion actual: [0.16898782 0.01346104]\n",
      "solucion actual: [ 0.16886312 -0.00219935]\n",
      "solucion actual: [ 0.16866034 -0.01781362]\n",
      "solucion actual: [ 0.16837982 -0.0333641 ]\n",
      "solucion actual: [ 0.16802194 -0.0488332 ]\n",
      "solucion actual: [ 0.16758722 -0.06420343]\n",
      "solucion actual: [ 0.16707622 -0.07945746]\n",
      "solucion actual: [ 0.16648963 -0.09457808]\n",
      "solucion actual: [ 0.16582818 -0.10954829]\n",
      "solucion actual: [ 0.16509272 -0.12435124]\n",
      "solucion actual: [ 0.16428416 -0.13897031]\n",
      "solucion actual: [ 0.16340351 -0.15338911]\n",
      "solucion actual: [ 0.16245184 -0.16759149]\n",
      "solucion actual: [ 0.16143033 -0.18156157]\n",
      "solucion actual: [ 0.1603402  -0.19528373]\n",
      "solucion actual: [ 0.15918278 -0.20874268]\n",
      "solucion actual: [ 0.15795946 -0.22192344]\n",
      "solucion actual: [ 0.1566717  -0.23481133]\n",
      "solucion actual: [ 0.15532103 -0.24739207]\n",
      "solucion actual: [ 0.15390906 -0.25965171]\n",
      "solucion actual: [ 0.15243747 -0.27157669]\n",
      "solucion actual: [ 0.150908   -0.28315385]\n",
      "solucion actual: [ 0.14932244 -0.29437043]\n",
      "solucion actual: [ 0.14768266 -0.3052141 ]\n",
      "solucion actual: [ 0.14599059 -0.31567297]\n",
      "solucion actual: [ 0.1442482 -0.3257356]\n",
      "solucion actual: [ 0.14245754 -0.33539101]\n",
      "solucion actual: [ 0.14062069 -0.3446287 ]\n",
      "solucion actual: [ 0.13873979 -0.35343864]\n",
      "solucion actual: [ 0.13681703 -0.36181132]\n",
      "solucion actual: [ 0.13485463 -0.36973773]\n",
      "solucion actual: [ 0.13285488 -0.37720937]\n",
      "solucion actual: [ 0.13082008 -0.38421827]\n",
      "solucion actual: [ 0.12875259 -0.39075699]\n",
      "solucion actual: [ 0.12665479 -0.39681864]\n",
      "solucion actual: [ 0.1245291  -0.40239689]\n",
      "solucion actual: [ 0.12237796 -0.40748593]\n",
      "solucion actual: [ 0.12020385 -0.41208056]\n",
      "solucion actual: [ 0.11800927 -0.41617611]\n",
      "solucion actual: [ 0.11579672 -0.41976849]\n",
      "solucion actual: [ 0.11356874 -0.4228542 ]\n",
      "solucion actual: [ 0.11132788 -0.42543031]\n",
      "solucion actual: [ 0.1090767  -0.42749448]\n",
      "solucion actual: [ 0.10681777 -0.42904493]\n",
      "solucion actual: [ 0.10455366 -0.43008049]\n",
      "solucion actual: [ 0.10228695 -0.43060058]\n",
      "solucion actual: [ 0.10002022 -0.43060518]\n",
      "solucion actual: [ 0.09775604 -0.43009487]\n",
      "solucion actual: [ 0.09549698 -0.42907082]\n",
      "solucion actual: [ 0.0932456  -0.42753478]\n",
      "solucion actual: [ 0.09100445 -0.42548907]\n",
      "solucion actual: [ 0.08877606 -0.4229366 ]\n",
      "solucion actual: [ 0.08656295 -0.41988083]\n",
      "solucion actual: [ 0.08436761 -0.41632582]\n",
      "solucion actual: [ 0.08219252 -0.41227616]\n",
      "solucion actual: [ 0.08004013 -0.40773702]\n",
      "solucion actual: [ 0.07791285 -0.40271411]\n",
      "solucion actual: [ 0.07581308 -0.39721368]\n",
      "solucion actual: [ 0.07374316 -0.39124253]\n",
      "solucion actual: [ 0.07170541 -0.38480796]\n",
      "solucion actual: [ 0.06970212 -0.37791782]\n",
      "solucion actual: [ 0.06773551 -0.37058045]\n",
      "solucion actual: [ 0.06580778 -0.36280468]\n",
      "solucion actual: [ 0.06392107 -0.35459985]\n",
      "solucion actual: [ 0.06207749 -0.34597577]\n",
      "solucion actual: [ 0.06027907 -0.3369427 ]\n",
      "solucion actual: [ 0.0585278  -0.32751137]\n",
      "solucion actual: [ 0.05682563 -0.31769294]\n",
      "solucion actual: [ 0.05517443 -0.30749901]\n",
      "solucion actual: [ 0.05357602 -0.29694158]\n",
      "solucion actual: [ 0.05203214 -0.28603305]\n",
      "solucion actual: [ 0.05054451 -0.27478621]\n",
      "solucion actual: [ 0.04911473 -0.26321423]\n",
      "solucion actual: [ 0.04774437 -0.2513306 ]\n",
      "solucion actual: [ 0.04643492 -0.23914919]\n",
      "solucion actual: [ 0.04518779 -0.22668416]\n",
      "solucion actual: [ 0.04400433 -0.21395   ]\n",
      "solucion actual: [ 0.04288582 -0.20096148]\n",
      "solucion actual: [ 0.04183344 -0.18773363]\n",
      "solucion actual: [ 0.04084833 -0.17428175]\n",
      "solucion actual: [ 0.03993151 -0.16062138]\n",
      "solucion actual: [ 0.03908397 -0.14676826]\n",
      "solucion actual: [ 0.03830657 -0.13273835]\n",
      "solucion actual: [ 0.03760012 -0.11854779]\n",
      "solucion actual: [ 0.03696535 -0.10421287]\n",
      "solucion actual: [ 0.03640289 -0.08975004]\n",
      "solucion actual: [ 0.03591331 -0.07517587]\n",
      "solucion actual: [ 0.03549707 -0.06050705]\n",
      "solucion actual: [ 0.03515456 -0.04576033]\n",
      "solucion actual: [ 0.03488609 -0.03095256]\n",
      "solucion actual: [ 0.03469188 -0.01610063]\n",
      "solucion actual: [ 0.03457206 -0.00122144]\n",
      "solucion actual: [0.0345267  0.01366806]\n",
      "solucion actual: [0.03455575 0.02855095]\n",
      "solucion actual: [0.03465909 0.04341034]\n",
      "solucion actual: [0.03483653 0.05822938]\n",
      "solucion actual: [0.03508778 0.07299129]\n",
      "solucion actual: [0.03541247 0.08767935]\n",
      "solucion actual: [0.03581015 0.10227698]\n",
      "solucion actual: [0.03628028 0.11676769]\n",
      "solucion actual: [0.03682225 0.13113515]\n",
      "solucion actual: [0.03743536 0.14536318]\n",
      "solucion actual: [0.03811883 0.15943578]\n",
      "solucion actual: [0.03887181 0.17333715]\n",
      "solucion actual: [0.03969336 0.18705168]\n",
      "solucion actual: [0.04058248 0.20056401]\n",
      "solucion actual: [0.04153807 0.21385903]\n",
      "solucion actual: [0.04255897 0.22692189]\n",
      "solucion actual: [0.04364395 0.23973801]\n",
      "solucion actual: [0.04479171 0.25229311]\n",
      "solucion actual: [0.04600087 0.26457323]\n",
      "solucion actual: [0.04726999 0.27656473]\n",
      "solucion actual: [0.04859755 0.28825433]\n",
      "solucion actual: [0.04998199 0.2996291 ]\n",
      "solucion actual: [0.05142167 0.31067645]\n",
      "solucion actual: [0.05291488 0.32138424]\n",
      "solucion actual: [0.05445988 0.33174067]\n",
      "solucion actual: [0.05605484 0.34173438]\n",
      "solucion actual: [0.05769791 0.35135444]\n",
      "solucion actual: [0.05938715 0.36059034]\n",
      "solucion actual: [0.06112061 0.36943203]\n",
      "solucion actual: [0.06289625 0.37786992]\n",
      "solucion actual: [0.06471202 0.38589488]\n",
      "solucion actual: [0.0665658  0.39349826]\n",
      "solucion actual: [0.06845545 0.40067191]\n",
      "solucion actual: [0.07037879 0.40740817]\n",
      "solucion actual: [0.07233358 0.41369988]\n",
      "solucion actual: [0.07431758 0.4195404 ]\n",
      "solucion actual: [0.07632849 0.42492362]\n",
      "solucion actual: [0.078364   0.42984393]\n",
      "solucion actual: [0.08042178 0.43429628]\n",
      "solucion actual: [0.08249945 0.43827614]\n",
      "solucion actual: [0.08459464 0.44177952]\n",
      "solucion actual: [0.08670495 0.44480299]\n",
      "solucion actual: [0.08882796 0.44734366]\n",
      "solucion actual: [0.09096125 0.4493992 ]\n",
      "solucion actual: [0.09310238 0.45096781]\n",
      "solucion actual: [0.09524892 0.45204827]\n",
      "solucion actual: [0.09739841 0.4526399 ]\n",
      "solucion actual: [0.09954842 0.4527426 ]\n",
      "solucion actual: [0.10169649 0.45235679]\n",
      "solucion actual: [0.10384021 0.45148348]\n",
      "solucion actual: [0.10597712 0.4501242 ]\n",
      "solucion actual: [0.10810482 0.44828106]\n",
      "solucion actual: [0.11022089 0.44595669]\n",
      "solucion actual: [0.11232296 0.44315429]\n",
      "solucion actual: [0.11440864 0.43987757]\n",
      "solucion actual: [0.11647559 0.4361308 ]\n",
      "solucion actual: [0.11852148 0.43191877]\n",
      "solucion actual: [0.120544   0.42724679]\n",
      "solucion actual: [0.1225409  0.42212069]\n",
      "solucion actual: [0.12450993 0.41654681]\n",
      "solucion actual: [0.12644888 0.41053198]\n",
      "solucion actual: [0.12835559 0.40408354]\n",
      "solucion actual: [0.13022793 0.39720931]\n",
      "solucion actual: [0.13206381 0.38991757]\n",
      "solucion actual: [0.13386119 0.38221708]\n",
      "solucion actual: [0.13561807 0.37411706]\n",
      "solucion actual: [0.1373325  0.36562715]\n",
      "solucion actual: [0.13900258 0.35675745]\n",
      "solucion actual: [0.14062646 0.34751845]\n",
      "solucion actual: [0.14220236 0.33792107]\n",
      "solucion actual: [0.14372854 0.32797662]\n",
      "solucion actual: [0.14520332 0.31769678]\n",
      "solucion actual: [0.14662508 0.30709362]\n",
      "solucion actual: [0.14799227 0.29617954]\n",
      "solucion actual: [0.1493034  0.28496729]\n",
      "solucion actual: [0.15055704 0.27346994]\n",
      "solucion actual: [0.15175184 0.26170089]\n",
      "solucion actual: [0.1528865  0.24967379]\n",
      "solucion actual: [0.15395981 0.23740261]\n",
      "solucion actual: [0.15497061 0.22490156]\n",
      "solucion actual: [0.15591783 0.21218511]\n",
      "solucion actual: [0.15680046 0.19926793]\n",
      "solucion actual: [0.15761758 0.18616492]\n",
      "solucion actual: [0.15836833 0.17289119]\n",
      "solucion actual: [0.15905193 0.15946199]\n",
      "solucion actual: [0.15966769 0.14589276]\n",
      "solucion actual: [0.16021498 0.13219908]\n",
      "solucion actual: [0.16069326 0.11839662]\n",
      "solucion actual: [0.16110205 0.1045012 ]\n",
      "solucion actual: [0.16144099 0.0905287 ]\n",
      "solucion actual: [0.16170976 0.07649508]\n",
      "solucion actual: [0.16190814 0.06241635]\n",
      "solucion actual: [0.16203597 0.04830854]\n",
      "solucion actual: [0.1620932  0.03418772]\n",
      "solucion actual: [0.16207985 0.02006994]\n",
      "solucion actual: [0.161996   0.00597122]\n",
      "solucion actual: [ 0.16184183 -0.00809243]\n",
      "solucion actual: [ 0.16161759 -0.02210509]\n",
      "solucion actual: [ 0.16132363 -0.0360509 ]\n",
      "solucion actual: [ 0.16096036 -0.0499141 ]\n",
      "solucion actual: [ 0.16052825 -0.06367903]\n",
      "solucion actual: [ 0.1600279  -0.07733017]\n",
      "solucion actual: [ 0.15945993 -0.09085215]\n",
      "solucion actual: [ 0.15882507 -0.10422976]\n",
      "solucion actual: [ 0.15812413 -0.11744796]\n",
      "solucion actual: [ 0.15735796 -0.13049192]\n",
      "solucion actual: [ 0.15652752 -0.14334703]\n",
      "solucion actual: [ 0.15563382 -0.1559989 ]\n",
      "solucion actual: [ 0.15467794 -0.16843339]\n",
      "solucion actual: [ 0.15366105 -0.18063663]\n",
      "solucion actual: [ 0.15258437 -0.19259502]\n",
      "solucion actual: [ 0.15144919 -0.20429525]\n",
      "solucion actual: [ 0.15025686 -0.21572433]\n",
      "solucion actual: [ 0.14900881 -0.22686958]\n",
      "solucion actual: [ 0.14770651 -0.23771868]\n",
      "solucion actual: [ 0.1463515  -0.24825963]\n",
      "solucion actual: [ 0.14494539 -0.25848081]\n",
      "solucion actual: [ 0.14348983 -0.26837097]\n",
      "solucion actual: [ 0.14198653 -0.27791927]\n",
      "solucion actual: [ 0.14043724 -0.28711524]\n",
      "solucion actual: [ 0.13884379 -0.29594883]\n",
      "solucion actual: [ 0.13720803 -0.30441044]\n",
      "solucion actual: [ 0.13553187 -0.31249086]\n",
      "solucion actual: [ 0.13381726 -0.32018135]\n",
      "solucion actual: [ 0.13206619 -0.32747363]\n",
      "solucion actual: [ 0.13028068 -0.33435986]\n",
      "solucion actual: [ 0.12846281 -0.34083268]\n",
      "solucion actual: [ 0.12661468 -0.34688521]\n",
      "solucion actual: [ 0.12473842 -0.35251106]\n",
      "solucion actual: [ 0.12283619 -0.35770431]\n",
      "solucion actual: [ 0.12091018 -0.36245956]\n",
      "solucion actual: [ 0.11896262 -0.36677192]\n",
      "solucion actual: [ 0.11699572 -0.37063697]\n",
      "solucion actual: [ 0.11501176 -0.37405084]\n",
      "solucion actual: [ 0.11301301 -0.37701017]\n",
      "solucion actual: [ 0.11100174 -0.37951212]\n",
      "solucion actual: [ 0.10898026 -0.38155435]\n",
      "solucion actual: [ 0.10695088 -0.38313507]\n",
      "solucion actual: [ 0.10491591 -0.38425301]\n",
      "solucion actual: [ 0.10287766 -0.38490743]\n",
      "solucion actual: [ 0.10083847 -0.38509811]\n",
      "solucion actual: [ 0.09880063 -0.38482536]\n",
      "solucion actual: [ 0.09676648 -0.38409001]\n",
      "solucion actual: [ 0.0947383  -0.38289343]\n",
      "solucion actual: [ 0.09271841 -0.3812375 ]\n",
      "solucion actual: [ 0.09070908 -0.37912462]\n",
      "solucion actual: [ 0.08871258 -0.37655771]\n",
      "solucion actual: [ 0.08673118 -0.3735402 ]\n",
      "solucion actual: [ 0.08476709 -0.37007604]\n",
      "solucion actual: [ 0.08282253 -0.36616965]\n",
      "solucion actual: [ 0.0808997  -0.36182599]\n",
      "solucion actual: [ 0.07900074 -0.35705048]\n",
      "solucion actual: [ 0.07712779 -0.35184903]\n",
      "solucion actual: [ 0.07528294 -0.34622804]\n",
      "solucion actual: [ 0.07346826 -0.34019437]\n",
      "solucion actual: [ 0.07168578 -0.33375534]\n",
      "solucion actual: [ 0.06993748 -0.32691872]\n",
      "solucion actual: [ 0.06822531 -0.31969274]\n",
      "solucion actual: [ 0.06655117 -0.31208603]\n",
      "solucion actual: [ 0.06491692 -0.30410767]\n",
      "solucion actual: [ 0.06332438 -0.29576714]\n",
      "solucion actual: [ 0.0617753  -0.28707434]\n",
      "solucion actual: [ 0.0602714  -0.27803953]\n",
      "solucion actual: [ 0.05881433 -0.26867336]\n",
      "solucion actual: [ 0.05740569 -0.25898684]\n",
      "solucion actual: [ 0.05604702 -0.24899135]\n",
      "solucion actual: [ 0.05473982 -0.23869858]\n",
      "solucion actual: [ 0.05348551 -0.22812057]\n",
      "solucion actual: [ 0.05228546 -0.21726965]\n",
      "solucion actual: [ 0.05114096 -0.20615845]\n",
      "solucion actual: [ 0.05005325 -0.1947999 ]\n",
      "solucion actual: [ 0.04902351 -0.18320716]\n",
      "solucion actual: [ 0.04805284 -0.17139369]\n",
      "solucion actual: [ 0.04714226 -0.15937314]\n",
      "solucion actual: [ 0.04629276 -0.14715939]\n",
      "solucion actual: [ 0.04550522 -0.13476656]\n",
      "solucion actual: [ 0.04478047 -0.1222089 ]\n",
      "solucion actual: [ 0.04411926 -0.10950087]\n",
      "solucion actual: [ 0.04352227 -0.09665709]\n",
      "solucion actual: [ 0.0429901  -0.08369228]\n",
      "solucion actual: [ 0.04252328 -0.07062131]\n",
      "solucion actual: [ 0.04212228 -0.05745914]\n",
      "solucion actual: [ 0.04178747 -0.04422084]\n",
      "solucion actual: [ 0.04151916 -0.03092152]\n",
      "solucion actual: [ 0.04131757 -0.01757635]\n",
      "solucion actual: [ 0.04118286 -0.00420055]\n",
      "solucion actual: [0.04111511 0.00919066]\n",
      "solucion actual: [0.04111431 0.02258205]\n",
      "solucion actual: [0.04118039 0.03595841]\n",
      "solucion actual: [0.04131321 0.04930457]\n",
      "solucion actual: [0.04151253 0.0626054 ]\n",
      "solucion actual: [0.04177805 0.07584584]\n",
      "solucion actual: [0.0421094  0.08901093]\n",
      "solucion actual: [0.04250612 0.10208581]\n",
      "solucion actual: [0.0429677  0.11505571]\n",
      "solucion actual: [0.04349352 0.12790604]\n",
      "solucion actual: [0.04408292 0.14062232]\n",
      "solucion actual: [0.04473517 0.15319028]\n",
      "solucion actual: [0.04544944 0.1655958 ]\n",
      "solucion actual: [0.04622486 0.17782499]\n",
      "solucion actual: [0.04706047 0.18986414]\n",
      "solucion actual: [0.04795527 0.20169981]\n",
      "solucion actual: [0.04890815 0.21331877]\n",
      "solucion actual: [0.04991799 0.22470809]\n",
      "solucion actual: [0.05098356 0.23585508]\n",
      "solucion actual: [0.05210359 0.24674736]\n",
      "solucion actual: [0.05327674 0.25737285]\n",
      "solucion actual: [0.05450164 0.26771978]\n",
      "solucion actual: [0.05577681 0.27777673]\n",
      "solucion actual: [0.05710077 0.28753258]\n",
      "solucion actual: [0.05847195 0.29697661]\n",
      "solucion actual: [0.05988873 0.30609845]\n",
      "solucion actual: [0.06134947 0.3148881 ]\n",
      "solucion actual: [0.06285244 0.32333595]\n",
      "solucion actual: [0.0643959  0.33143279]\n",
      "solucion actual: [0.06597804 0.33916984]\n",
      "solucion actual: [0.06759703 0.34653871]\n",
      "solucion actual: [0.06925098 0.35353145]\n",
      "solucion actual: [0.07093797 0.36014054]\n",
      "solucion actual: [0.07265606 0.36635891]\n",
      "solucion actual: [0.07440325 0.37217995]\n",
      "solucion actual: [0.07617753 0.3775975 ]\n",
      "solucion actual: [0.07797686 0.38260586]\n",
      "solucion actual: [0.07979915 0.3871998 ]\n",
      "solucion actual: [0.08164231 0.39137458]\n",
      "solucion actual: [0.08350424 0.39512594]\n",
      "solucion actual: [0.08538278 0.39845009]\n",
      "solucion actual: [0.08727579 0.40134374]\n",
      "solucion actual: [0.08918111 0.4038041 ]\n",
      "solucion actual: [0.09109655 0.40582887]\n",
      "solucion actual: [0.09301992 0.40741623]\n",
      "solucion actual: [0.09494904 0.40856488]\n",
      "solucion actual: [0.0968817  0.40927403]\n",
      "solucion actual: [0.09881571 0.40954335]\n",
      "solucion actual: [0.10074887 0.40937305]\n",
      "solucion actual: [0.10267898 0.40876381]\n",
      "solucion actual: [0.10460386 0.40771683]\n",
      "solucion actual: [0.10652132 0.4062338 ]\n",
      "solucion actual: [0.1084292  0.40431688]\n",
      "solucion actual: [0.11032534 0.40196877]\n",
      "solucion actual: [0.11220759 0.3991926 ]\n",
      "solucion actual: [0.11407385 0.39599202]\n",
      "solucion actual: [0.115922   0.39237114]\n",
      "solucion actual: [0.11774996 0.38833456]\n",
      "solucion actual: [0.11955569 0.38388734]\n",
      "solucion actual: [0.12133716 0.37903499]\n",
      "solucion actual: [0.12309237 0.37378347]\n",
      "solucion actual: [0.12481936 0.36813922]\n",
      "solucion actual: [0.1265162  0.36210908]\n",
      "solucion actual: [0.12818099 0.35570035]\n",
      "solucion actual: [0.12981189 0.34892073]\n",
      "solucion actual: [0.13140708 0.34177834]\n",
      "solucion actual: [0.13296478 0.33428171]\n",
      "solucion actual: [0.13448327 0.32643976]\n",
      "soluciones: [0.00000000e+00 0.00000000e+00 1.13577510e-04 ... 1.32964778e-01\n",
      " 1.34483270e-01 1.35960873e-01]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Llamo al euler implícito\n",
    "# u, t = euler_implicito(A_inversa, termino_indep, t)\n",
    "\n",
    "# Llamo al ponderado implícito\n",
    "u, t = ponderado_implicito(0.5, h, A_inversa, termino_indep, t)\n",
    "\n",
    "# Grafico la solución numérica obtenidad junto con la solución analítica\n",
    "ax: plt.Axes\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(t, u, label='aproximación')\n",
    "ax.plot(t, sol_analitica(t), 'r--', label='solucion analítica')\n",
    "ax.set_title(f'y(t) con beta = {beta} y paso = {h}')\n",
    "ax.set_xlabel('Tiempo (s)')\n",
    "ax.set_ylabel('y')\n",
    "ax.grid(True)\n",
    "plt.show()\n",
    "\n",
    "# Grafico el error de truncamiento entre la aproximación y la solución anlítica\n",
    "paso = 0\n",
    "aproximacion = np.copy(u)\n",
    "for i in range(len(t)):\n",
    "\taproximacion[i] = (sol_analitica(paso) - aproximacion[i])\n",
    "\tpaso += h\n",
    "ax: plt.Axes\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(t, aproximacion)\n",
    "ax.set_title(f'e(t) con beta = {beta} y paso = {h}')\n",
    "ax.set_xlabel('Tiempo (s)')\n",
    "ax.set_ylabel('Error')\n",
    "ax.grid(True)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}