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

Hongyu Qin, Zhiyong Wang, Fumin Zhu and Jinming Wen

International Journal of Differential Equations, 2018, vol. 2018, 1-5

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:8241784

DOI: 10.1155/2018/8241784

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