Dissipativity of Runge–Kutta methods for neutral delay integro-differential equations

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摘要

This paper is concerned with the numerical dissipativity of a class of nonlinear neutral delay integro-differential equations. The dissipativity results are obtained for algebraically stable Runge–Kutta methods when they are applied to above problems.

论文关键词:Neutral delay integro-differential equations,Dynamical systems,Dissipativity,Runge–Kutta methods

论文评审过程:Available online 27 May 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.05.039