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

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 (k,l)-algebraically stable Runge-Kutta methods are derived. A numerical test...

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Bibliographic Details
Main Authors: Yuexin Yu, Zhongyan Liu, Liping Wen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/607827
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