Algorithms in MATLAB for finite difference methods to solve the vibration ODE and the heat PDE. Sample simulations can be found in the pdf file.
diff_euler_back_sine.m and diff_euler_fwd_sine.m solve the heat equation in one dimension using the euler backward and forward methods respectively. The intial function is a sine wave.
euler_back_vib.m and euler_fwd_vib.m solve the vibration ODE in one dimension using the euler backward and forward methods respectively.
verlet_FD.m solves the vibration ODE in one dimension using the verlet method.
Sample intial datum, plots and more information about the algorithms can be found in summer_project_2021.pdf
Summer Project 2021_Mathematical Models of Chemotaxis.zip contains the files and LaTeX markup used to generate summer_project_2021.pdf