Numerical Methods for Time Dependent PDEs

Git repository for the assignments and extras for the MasterMath course Numerical Methods for Time Dependent PDEs in the summer semester 2021

Assigment 1

• Jupyter Notebook that solves three different time-dependent PDEs, namely
  • Richards equation from porous media flow;

• The modelling of propagation of domain walls in liquid crystals;

• The equal width (EW) wave equation.

• The results can be found in the Notebook and PDF!

Heat 2D

• Jupyter Notebook to solve the 2D heat equation using python with the following methods
  • Forward in time, centered in space (FTCS) method
  • Crank-Nicolson (CN)
  • Alternating direction method (ADI)