Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations

Advances in Difference Equations

Qing Liao¹  Liping Wen¹ 

[1] School of Mathematics and Computational Science, Xiangtan University, Xiangtan, P.R. China

关键词: functional-integro-differential equation;    Runge-Kutta method;    dissipativity;    algebraic stability;    dynamical systems;   

DOI  :  10.1186/s13662-017-1196-0

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY