Alternating direction method for a two-dimensional parabolic equation with a nonlocal boundary condition

被引：34

作者：

Sapagovas, M. ^{[1
]}

Kairyte, G. ^{[1
]}

Stikoniene, O. ^{[1
]}

Stikonas, A. ^{[1
]}

机构：

[1] Inst Math & Informat, LT-03225 Vilnius, Lithuania

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2007年 / 12卷 / 01期

关键词：

parabolic equation; nonlocal boundary conditions; the Peaceman-Rachford method; alternating direction implicit method;

D O I：

10.3846/1392-6292.2007.12.131-142

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper deals with an alternating direction implicit method for a two dimensional parabolic equation in a rectangle domain with a nonlocal boundary condition in one direction. Sufficient conditions of stability for Peaceman-Rachford method are established. Results of some numerical experiments are presented.

引用

页码：131 / 142

页数：12

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