English

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

Numerical Analysis 2022-08-05 v1 Numerical Analysis

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

Keywords

Cite

@article{arxiv.2208.02427,
  title  = {A Comparison of SOR, ADI and Multigrid Methods for Solving Partial Differential Equations},
  author = {Mohamed Mohsen Ahmed},
  journal= {arXiv preprint arXiv:2208.02427},
  year   = {2022}
}
R2 v1 2026-06-25T01:28:00.812Z