Stability of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments

被引：18

作者：

Lv, W. J. ^{[1
]}

Yang, Z. W. ^{[1
]}

Liu, W. Z. ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 02期

关键词：

delay differential equation; piecewise continuous arguments; asymptotic stability; numerical asymptotic stability;

D O I：

10.1016/j.amc.2006.07.158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the stability analysis of the Euler-Maclaurin methods for neutral differential equations with piece-wise continuous arguments u'(t) = au(t) + Sigma(N)(i=0)a(i)u((i)) ([t]). The stability regions of the Euler-Maclaurin methods are determined. The conditions under which the analytic stability region is contained in the numerical stability region are obtained and some numerical experiments are given. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1480 / 1487

页数：8

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