A Comparison of SOR, ADI and Multigrid Methods for Solving Partial Differential Equations

08/04/2022

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by   Mohamed Mohsen Ahmed, et al.

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This article presents several numerical techniques for solving Laplace equation. A numerical FORTRAN solver is developed to solve the 2D laplace equation. The numerical approaches implemented in the solver include Jacobi, Gauss-Siedel, Successive Over Relaxation, Alternating Direct Implicit and Multigrid methods. Detailed comparison between different numerical methods is presented and discussed