Stability analysis of numerical methods for linear neutral Volterra delay-integro-differential system

被引：35

作者：

Zhao, JJ ^{[1
]}

Xu, Y ^{[1
]}

Liu, MZ ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 167卷 / 02期

基金：

中国国家自然科学基金;

关键词：

delay integro-differential equations; stability; numerical methods;

D O I：

10.1016/j.amc.2004.08.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the stability of numerical methods for linear neutral Volterra delay-integro-differential system. A sufficient condition such that the system is asymptotically stable is derived. Furthermore, it is proved that every linear theta-method with theta epsilon (1/2, 1] and A-stable BDF method preserve the delay-independent stability of its exact solutions. Finally, the numerical experiments are given to demonstrate the conclusions. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：1062 / 1079

页数：18

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