{
  "id": "2208.02427",
  "version": "v1",
  "published": "2022-08-04T03:34:41.000Z",
  "updated": "2022-08-04T03:34:41.000Z",
  "title": "A Comparison of SOR, ADI and Multigrid Methods for Solving Partial Differential Equations",
  "authors": [
    "Mohamed Mohsen Ahmed"
  ],
  "doi": "10.13140/RG.2.2.33218.71362",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "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",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-04T03:34:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "solving partial differential equations",
      "multigrid methods",
      "comparison",
      "2d laplace equation",
      "alternating direct implicit"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}