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Stability of Runge-Kutta Methods for Neutral Delay Differential Equations

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  • Liping Wen
  • Xiong Liu
  • Yuexin Yu

Abstract

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.

Suggested Citation

  • Liping Wen & Xiong Liu & Yuexin Yu, 2015. "Stability of Runge-Kutta Methods for Neutral Delay Differential Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-8, November.
    • Handle: RePEc:hin:jnddns:127027
    DOI: 10.1155/2015/127027
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    References listed on IDEAS

    as
    1. Qin, Tingting & Zhang, Chengjian, 2015. "Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 47-57.
    2. Bellen, Alfredo & Zennaro, Marino, 2003. "Numerical Methods for Delay Differential Equations," OUP Catalogue, Oxford University Press, number 9780198506546.
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