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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:318

Article

Wen, Liping¹  Liao, Qing¹ 

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

关键词: Functional-integro-differential equation;    One-leg method;    Dissipativity;    Algebraic stability;    Dynamical systems;   

DOI  :  10.1016/j.cam.2016.12.009

来源: Elsevier

【 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.

【 授权许可】

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