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.
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页码：503 / 519
页数：17
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