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Dissipativity of Runge–Kutta methods for neutral delay integro-differential equations
Authors:Liping Wen   Suxia Wang  Yuexin Yu
Affiliation:aSchool of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, PR China
Abstract: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.
Keywords:Neutral delay integro-differential equations   Dynamical systems   Dissipativity   Runge–  Kutta methods
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