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

被引：0
作者：
Qing Liao
Liping Wen
机构：
[1] Xiangtan University,School of Mathematics and Computational Science
来源：
Advances in Difference Equations | / 2017卷
关键词：
functional-integro-differential equation; Runge-Kutta method; dissipativity; algebraic stability; dynamical systems;
D O I：
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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.
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