论文标题

用于求解部分微分方程的SOR,ADI和Multigrid方法的比较

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

论文作者

Ahmed, Mohamed Mohsen

论文摘要

本文介绍了几种用于求解拉普拉斯方程的数值技术。开发了一个数值供求解器来求解2D拉普拉斯方程。求解器中实施的数值方法包括雅各比,高斯 - 塞德尔,连续放松,交替直接隐式和多族方法。提出和讨论了不同数值方法之间的详细比较

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

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