Asymptotic stability of linear multistep methods for nonlinear neutral delay differential equations

被引：10
|
作者：
Hu, Peng [1 ]
Huang, Chengming [1 ]
Wu, Shulin [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 211卷 / 01期
关键词：
Nonlinear neutral delay differential equations; Linear multistep methods; Asymptotic stability; A-stable; GAS-stable; RUNGE-KUTTA METHODS; ONE-LEG METHODS; NUMERICAL-METHODS; CONTRACTIVITY; SYSTEMS;
D O I：
10.1016/j.amc.2009.01.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the numerical solution to initial value problems of nonlinear delay differential equations of neutral type. We use A-stable linear multistep methods to compute the numerical solution. The asymptotic stability of the A-stable linear multistep methods when applied to the nonlinear delay differential equations of neutral type is investigated, and it is shown that the A-stable linear multistep methods with linear interpolation are GAS-stable. We validate our conclusions by numerical experiments. (C) 2009 Elsevier Inc. All rights reserved.
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页码：95 / 101
页数：7
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