On the stability of an explicit difference scheme for hyperbolic equations with nonlocal boundary conditions

被引：31

作者：

Ivanauskas, F. F. ^{[1
]}

Novitski, Yu A. ^{[1
]}

Sapagovas, M. P. ^{[1
]}

机构：

[1] Vilnius State Univ, Vilnius, Lithuania

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 07期

关键词：

FINITE-DIFFERENCE;

D O I：

10.1134/S0012266113070070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：849 / 856

页数：8

共 18 条

[1]

[Anonymous], DIFFER EQU

[2]

[Anonymous], 1964, FUNKTIONALANALYSIS N

[3]

[Anonymous], 1976, TEPLOFIZIKA POCHV

[4] Finite Difference Method for Hyperbolic Equations with the Nonlocal Integral Condition [J].