A finite difference method for self-adjoint elliptic equations in three dimensions

被引：4

作者：

Saldanha, G ^{[1
]}

机构：

[1] Mangalore Univ, Dept Math, Mangalagangothri 574199, Karnataka, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 146卷 / 2-3期

关键词：

finite difference methods; self-adjoint elliptic equations; Dirichlet boundary conditions; truncation error; iterative methods;

D O I：

10.1016/S0096-3003(02)00632-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present a fourth-order finite difference method for the three-dimensional, second-order, self-adjoint elliptic partial differential equations subject to Dirichlet boundary conditions. A 19-point uniform cubic grid of size h is used to derive the method. The resulting system of algebraic equations could be solved by iterative methods. Numerical results of some test problems are given. (C) 2002 Elsevier Inc. All rights reserved.

引用

页码：803 / 811

页数：9

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