On the stability of a difference scheme for a two-dimensional parabolic equation with an integral condition

被引：4

作者：

Jakubeliene, Kristina ^{[1
]}

Sapagovas, Mifodijus ^{[1
]}

机构：

[1] Vilnius State Univ, Inst Math & Informat, LT-08663 Vilnius, Lithuania

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2013年 / 53卷 / 03期

关键词：

parabolic equation; nonlocal integral condition; finite-difference method; stability; structure of spectrum; NONLOCAL BOUNDARY-CONDITIONS; ALTERNATING-DIRECTION METHOD; HEAT-EQUATION; NUMERICAL-SOLUTION; POISSON EQUATION; OPERATOR;

D O I：

10.1007/s10986-013-9210-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with the stability of a locally one-dimensional method for two-dimensional parabolic equations subject to nonlocal boundary condition. To analyze the stability, we study the structure of the spectrum of the transition matrix of the difference scheme. The results of a numerical experiment are presented.

引用

页码：311 / 323

页数：13

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