Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions

被引：11

作者：

Shkhanukov-Lafishev, M. Kh. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Comp Sci & Problems Reg Management, Kabardino Balkar Sci Ctr, Nalchik 360000, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2009年 / 49卷 / 07期

基金：

俄罗斯基础研究基金会;

关键词：

boundary value problem; loaded heat equation; difference scheme; scheme convergence; total approximation; embedding theorem; a priori estimate;

D O I：

10.1134/S0965542509070094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The third boundary value problem for a loaded heat equation in a p-dimensional parallelepiped is considered. An a priori estimate for the solution to a locally one-dimensional scheme is derived, and the convergence of the scheme is proved.

引用

页码：1167 / 1174

页数：8

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