文章基本信息

标题：Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations
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作者：Qing Liao ; Liping Wen
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：142
DOI：10.1186/s13662-017-1196-0
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with the dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations (FIDEs). The dissipativity results of Runge-Kutta methods for the FIDEs are given. It is shown under a suitable condition that an algebraically stable Runge-Kutta method is dissipative when applied to the FIDEs. Numerical examples are given to illustrate the correctness of our theoretical results.
关键词：functional-integro-differential equation ; Runge-Kutta method ; dissipativity ; algebraic stability ; dynamical systems