HIGH ORDER DIFFERENCE METHODS FOR THE BIHARMONIC EQUATION

被引：0
|
作者：
吕涛
周国富
林群
机构：
[1] Chengdu Branch
[2] Academia Sinica
[3] Chengdu
[4] China
[5] Institute of System Science
[6] Beijing
来源：
Acta Mathematica Scientia | 1986年 / 02期
关键词：
HIGH ORDER DIFFERENCE METHODS FOR THE BIHARMONIC EQUATION;
D O I：
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学科分类号：
摘要：
In this paper, instead of the usual 13-point formula, a new 21-point formula for the numerical solution of the first biharmonic Dirichlet problem is presented. According to the two kinds of the fictitious mesh point interpolation, it is shown that the error is O(h3.5) and O（h4） respectively in a norm which is stronger than the maximum norm for the error function.
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页码：223 / 230
页数：8
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