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

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  • Yuexin Yu
  • Zhongyan Liu
  • Liping Wen

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.

Suggested Citation

  • Yuexin Yu & Zhongyan Liu & Liping Wen, 2014. "Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, May.
    • Handle: RePEc:hin:jnljam:607827
    DOI: 10.1155/2014/607827
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    Cited by:

    1. Yan, Xiaoqiang & Zhang, Chengjian, 2019. "Solving nonlinear functional–differential and functional equations with constant delay via block boundary value methods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 21-32.

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