Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations

Yuexin Yu, Zhongyan Liu and Liping Wen

Journal of Applied Mathematics, 2014, vol. 2014, 1-9

Abstract:

This paper is concerned with the numerical stability of Runge-Kutta methods for a class of nonlinear functional differential and functional equations. The sufficient conditions for the stability and asymptotic stability of -algebraically stable Runge-Kutta methods are derived. A numerical test is given to confirm the theoretical results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:607827

DOI: 10.1155/2014/607827

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