Explicit Finite Difference Scheme For 2d Parabolic Partial Differential Equation

In this project report, explicit nite di erence scheme for 2D parabolic par-rntial di erential equations is considered. This method is used to solve the partialrnderivatives in the partial di erential equations at each gride point that are de-rnrived from neighbouring values by using Taylors theorem. The forward-timerncentered-space(FTCS)and explicit schemes are developed. The MATLAB im-rnplementation allows to experiment with the stability limit of the forward-timerncentered-space(FTCS).

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