Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations-Reference-Cited by-同舟云学术

Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations

Published:2018-06-11 Issue: Volume:2018 Page:1-5
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Qin Hongyu¹^ORCID,Wang Zhiyong²,Zhu Fumin³^ORCID,Wen Jinming⁴

Affiliation:

1. Wenhua College, Wuhan 430074, China

2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan 611731, China

3. College of Economics, Shenzhen University, Shenzhen 518060, China

4. Department of Electrical and Computer Engineering, University of Toronto, Toronto, M5S3G4, Canada

Abstract

This paper is concerned with stability analysis of additive Runge-Kutta methods for delay-integro-differential equations. We show that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are controlled by the initial perturbations from the system and the methods.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2018/8241784.pdf

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