Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems

被引：1

作者：

Wang, Yuan-Ming ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Shanghai Normal Univ, Shanghai Univ E Inst, Div Computat Sci, Shanghai 200234, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 200卷 / 02期

基金：

中国国家自然科学基金;

关键词：

fourth-order elliptic equations; finite difference solution; monotone method; rate of convergence; global error; stability;

D O I：

10.1016/j.cam.2006.01.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the error and stability analysis of the monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems. A comparison result among the various monotone sequences is given. The global error is analyzed, and some sufficient conditions are formulated to guarantee a geometric rate of convergence. The stability of the monotone method is proved. Some numerical results are presented. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：503 / 519

页数：17

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