Errors of linear multistep methods for singularly perturbed Volterra delay-integro-differential equations

被引：14

作者：

Wu, Shifeng ^{[1
]}

Gan, Siqing ^{[2
]}

机构：

[1] Guangdong Polytech Normal Univ, Dept Comp Sci, Guangzhou 510665, Guangdong, Peoples R China

[2] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2009年 / 79卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Singularly perturbed systems; Volterra delay-integro-differential equations; Linear multistep methods; Error analysis; Quadrature rule; RUNGE-KUTTA METHODS; STABILITY; CONVERGENCE; SYSTEMS;

D O I：

10.1016/j.matcom.2009.03.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is concerned with the error behaviour of linear multistep methods applied to singularly perturbed Volterra delay-integro-differential equations. We derive global error estimates of A(alpha)-stable linear multistep methods with convergent quadrature rule. Numerical experiments confirm our theoretical analysis. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：3148 / 3159

页数：12

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