Dissipativity of Multistep Runge–Kutta Methods for Nonlinear Neutral Delay-Integro-Differential Equations with Constrained Grid
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DOI

10.26689/jcer.v5i1.1813

Submitted : 2021-01-05
Accepted : 2021-01-20
Published : 2021-02-04

Abstract

This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear neutral delay-integro-differential equations. We investigate the dissipativity properties of -algebraically stable multistep Runge-Kutta methods with constrained grid. The finite-dimensional and infinite-dimensional dissipativity results of -algebraically stable multistep Runge-Kutta methods are obtained.