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Browsing Mathematics by Subject "2D Parabolic DiffErential Equation"

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    Explicit Finite Difference Scheme For 2d Parabolic Partial Differential Equation
    (Addis Ababa University, 2020-06-25) Negash, Habtemichael; Abdi, Tadesse (PhD)
    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).