Numerical solution of the differential-algebraic system of equations describing the motion of a pendulum
In the notebook the Cauchy problem is formulated. I.e. a differential-algebraic system of equations is given that describes the motion of a pendulum. Initial conditions and solving limitations are given.
While solving the problem, the system is transformed to a system of ordinary differential equations.
To solve the system fourth order Runge-Kutta (RK4) solver is implemented.
The system is solved on the intervals [0, 2] and [0, 100]
Diagrams of [0, 100] interval solution:
Validation of the solution is implemented using Gekko optimization package.
Diagrams of [0, 100] interval validation:
