ARTICLE
Volume 10,Issue 8
4 February 2021
Dissipativity of Multistep Runge–Kutta Methods for Nonlinear Neutral Delay-Integro-Differential Equations with Constrained Grid
Sidi Yang
JCER 2021 , 5(1), null;
https://doi.org/10.26689/jcer.v5i1.1813
© 2021 by the Authors. Licensee Whioce Publishing, Singapore. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC BY-NC 4.0) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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.
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