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Convergence of Runge–Kutta methods for neutral delay integro-differential equations

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  • Wen, Liping
  • Yu, Yuexin

Abstract

The present paper is concerned with the convergence of numerical methods to solve initial value problems of neutral delay integro-differential equations (NDIDEs). The error estimation of Runge–Kutta methods for a class of nonlinear systems of NDIDEs are derived. Some numerical experiments are given which confirm the theoretical results.

Suggested Citation

  • Wen, Liping & Yu, Yuexin, 2016. "Convergence of Runge–Kutta methods for neutral delay integro-differential equations," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 84-96.
    • Handle: RePEc:eee:apmaco:v:282:y:2016:i:c:p:84-96
    DOI: 10.1016/j.amc.2016.02.001
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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.
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    Cited by:

    1. Zhao, Longbin & Huang, Chengming, 2020. "Exponential fitting collocation methods for a class of Volterra integral equations," Applied Mathematics and Computation, Elsevier, vol. 376(C).

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