Explicit Finite Difference Scheme For 2d Parabolic Partial Differential Equation
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Date
2020-06-25
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Addis Ababa University
Abstract
In this project report, explicit nite di erence scheme for 2D parabolic par-
tial di erential equations is considered. This method is used to solve the partial
derivatives in the partial di erential equations at each gride point that are de-
rived from neighbouring values by using Taylors theorem. The forward-time
centered-space(FTCS)and explicit schemes are developed. The MATLAB im-
plementation allows to experiment with the stability limit of the forward-time
centered-space(FTCS).
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Keywords
Fnite DiffErence Method, Explicit Scheme, 2D Parabolic DiffErential Equation, Grid Point