LOCALLY ONE-DIMENSIONAL DIFFERENCE SCHEME FOR A PSEUDOPARABOLIC EQUATION WITH NONLOCAL CONDITIONS

被引：9

作者：

Jachimaviciene, Justina ^{[1
]}

Sapagovas, Mifodijus ^{[1
]}

机构：

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

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2012年 / 52卷 / 01期

关键词：

pseudoparabolic equation; finite-difference method; stability; ALTERNATING-DIRECTION METHOD; BOUNDARY-VALUE PROBLEM; HEAT-EQUATION; STABILITY;

D O I：

10.1007/s10986-012-9155-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a two-dimensional linear pseudoparabolic equation with nonlocal integral boundary conditions in one coordinate direction and use a locally one-dimensional method for solving this problem. We prove the stability of a finite-difference scheme based on the structure of spectrum of the difference operator with nonlocal conditions.

引用

页码：53 / 61

页数：9

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