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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 127027, 8 pages
Research Article

Stability of Runge-Kutta Methods for Neutral Delay Differential Equations

School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, China

Received 24 July 2015; Accepted 1 November 2015

Academic Editor: Francisco R. Villatoro

Copyright © 2015 Liping Wen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for -algebraically stable Runge-Kutta methods when they are applied to this type of problem. Numerical examples are given to confirm our theoretical results.