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

Abstract 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 Run...

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Bibliographic Details

Published in:	Advances in Difference Equations
Main Authors:	Qing Liao, Liping Wen
Format:	Article
Language:	English
Published:	SpringerOpen 2017-05-01
Subjects:	functional-integro-differential equation Runge-Kutta method dissipativity algebraic stability dynamical systems
Online Access:	http://link.springer.com/article/10.1186/s13662-017-1196-0