On the Convergence of Difference Schemes for a Heat Conduction Equation

被引：0

作者：

Andreev, Andrey ^{[1
]}

Juboury, Hussain ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Math Inst, BU-1113 Sofia, Bulgaria

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 1994年 / 1卷 / 03期

关键词：

Korovkin theorem; Heat conduction equation; Lax theorem; Difference scheme; Convergence;

D O I：

10.1002/nla.1680010303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions are obtained for the convergence of difference schemes for the numerical solution of the Cauchy problem for a heat conduction equation in two space variables. The sufficient conditions are derived in a form similar to those for the convergence of a sequence of linear positive operators in the Korovkin theorem. As an application it is shown that difference schemes that are widely used in practice can easily be checked for convergence by these conditions.

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页码：237 / 245

页数：9

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