An analysis of delay-dependent stability of symmetric boundary value methods for the linear neutral delay integro-differential equations with four parameters

被引：5

作者：

Zhao, Jingjun ^{[1
]}

Fan, Yan ^{[1
]}

Xu, Yang ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Neutral delay integro-differential equations; Boundary value methods; Delay-dependent stability; Boundary locus technique; RUNGE-KUTTA METHODS; DIFFERENTIAL-ALGEBRAIC EQUATIONS; MULTISTEP METHODS; ASYMPTOTIC STABILITY; HAMILTONIAN-SYSTEMS; NUMERICAL STABILITY; THETA-METHODS; CONVERGENCE;

D O I：

10.1016/j.apm.2014.10.047

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The paper is concerned with the study of delay-dependent stability of symmetric boundary value methods (BVMs) for the linear neutral delay integro-differential equations (NDIDEs) with four parameters. Four families of symmetric BVMs, namely the Extended Trapezoidal Rules of first (ETRs) and second kind (ETR(2)s), the Top Order Methods (TOMs) and the B-spline linear multistep methods (BS methods) are considered in this paper. By using the boundary locus technique, the delay-dependent stability region of symmetric BVMs is analyzed and their boundary loci are discussed. In addition, we give a sufficient condition that symmetric BVMs preserve the delay-dependent stability of the analytical solution. Some numerical examples are presented to validate the theoretical results. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：2453 / 2469

页数：17

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