paper

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

arXiv:2208.02427 · doi:10.13140/RG.2.2.33218.71362

Abstract

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