Some Stability and Convergence of Additive Runge‐Kutta Methods for Delay Differential Equations with Many Delays

Haiyan Yuan, Jingjun Zhao and Yang Xu

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: This paper is devoted to the stability and convergence analysis of the additive Runge‐Kutta methods with the Lagrangian interpolation (ARKLMs) for the numerical solution of a delay differential equation with many delays. GDN stability and D‐Convergence are introduced and proved. It is shown that strongly algebraically stability gives D‐Convergence DA, DAS, and ASI stability give GDN stability. Some examples are given in the end of this paper which confirms our results.

Date: 2012
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https://doi.org/10.1155/2012/456814

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:456814

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