Open Access
2018 Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations
Hongyu Qin, Zhiyong Wang, Fumin Zhu, Jinming Wen
Int. J. Differ. Equ. 2018(SI2): 1-5 (2018). DOI: 10.1155/2018/8241784

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.

Citation

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Hongyu Qin. Zhiyong Wang. Fumin Zhu. Jinming Wen. "Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations." Int. J. Differ. Equ. 2018 (SI2) 1 - 5, 2018. https://doi.org/10.1155/2018/8241784

Information

Received: 3 March 2018; Accepted: 6 May 2018; Published: 2018
First available in Project Euclid: 12 July 2018

zbMATH: 06915963
MathSciNet: MR3817713
Digital Object Identifier: 10.1155/2018/8241784

Rights: Copyright © 2018 Hindawi

Vol.2018 • No. SI2 • 2018
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