Dissipativity of one-leg methods for a class of nonlinear functional-integro-differential equations

被引：6

作者：

Wen, Liping ^{[1
]}

Liao, Qing ^{[1
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 318卷

关键词：

Functional-integro-differential equation; One-leg method; Dissipativity; Algebraic stability; Dynamical systems; RUNGE-KUTTA METHODS; DELAY INTEGRODIFFERENTIAL EQUATIONS; DYNAMICAL-SYSTEMS; STABILITY;

D O I：

10.1016/j.cam.2016.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the dissipativity of a class of nonlinear functional-integro-differential equations (FIDEs). The dissipativity result of the theoretical solution for this class problem is presented. A type of extended one-leg methods is suggested for the FIDEs. It is shown under suitable condition that a G(c, p, 0)-algebraically stable one-leg method is dissipative when applied to the above problem. Numerical examples are given to illustrate the correctness of our theoretical results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：26 / 37

页数：12

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