Stability of one-leg θ-methods for nonlinear neutral differential equations with proportional delay

被引：31
|
作者：
Wang, Wansheng [1 ,2 ]
Qin, Tingting [2 ]
Li, Shoufu [3 ]
机构：
[1] Changsha Univ Sci & Technol, Sch Math & Computat Sci, Changsha 410004, Hunan, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[3] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 213卷 / 01期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Neutral differential equations; Nonlinear proportional delay differential equations; One-leg theta-methods; Numerical stability; Asymptotic stability; Approach of transformation [TRA; RUNGE-KUTTA METHODS; ASYMPTOTIC STABILITY; PANTOGRAPH EQUATION;
D O I：
10.1016/j.amc.2009.03.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stability properties of one-leg theta-methods for nonlinear neutral differential equations with proportional delay is investigated. In recent years, the stability of one-leg theta-methods for this class of equations on a quasi-geometric mesh is investigated. Instead, in the present paper, the focus is on stability of one-leg theta-methods for the neutral differential equations with constant delay obtained by applying the approach of transformation to the proportional delay equations. Some sufficient conditions for global stability and asymptotic stability are established. Two numerical examples are also included. (C) 2009 Elsevier Inc. All rights reserved.
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页码：177 / 183
页数：7
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