On the stability of a weighted finite difference scheme for wave equation with nonlocal boundary conditions

被引：18

作者：

Novickij, Jurij ^{[1
]}

Stikonas, Arturas ^{[2
]}

机构：

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

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

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2014年 / 19卷 / 03期

关键词：

integral conditions; hyperbolic equation; weighted difference scheme; spectrum analysis; STURM-LIOUVILLE PROBLEM; OPERATOR; SPECTRUM;

D O I：

10.15388/NA.2014.3.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the stability of a weighted finite difference scheme for a linear hyperbolic equation with nonlocal integral boundary condition. By studying the spectrum of the transition matrix of the three-layered difference scheme we obtain a sufficient stability condition in a special matrix norm.

引用

页码：460 / 475

页数：16

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