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2014 Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations
Yuexin Yu, Zhongyan Liu, Liping Wen
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/607827

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 (k,l)-algebraically stable Runge-Kutta methods are derived. A numerical test is given to confirm the theoretical results.

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Yuexin Yu. Zhongyan Liu. Liping Wen. "Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/607827

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131733
MathSciNet: MR3208632
Digital Object Identifier: 10.1155/2014/607827

Rights: Copyright © 2014 Hindawi

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