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Numerical-Solutions-to-PDE-s

-We had to model solutions to the 1D Heat Equation and finally make contour plots of the solutions.

-This is done by converting the differential equation into a finite difference problem. Three such models were implemented in our project:

  1. Forward Euler Method (FTCS)
  2. Richardson Method
  3. DuFort-Frankel Method

-The solution was initialized and plotted using 2D arrays. (handled by the "numpy" module) -Plotting was done using the "matplotlib" module.