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An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations

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  • M. H. Daliri Birjandi
  • J. Saberi-Nadjafi
  • A. Ghorbani

Abstract

We investigate an efficient numerical method for solving a class of nonlinear Volterra integro-differential equations, which is a combination of the parametric iteration method and the spectral collocation method. The implementation of the modified method is demonstrated by solving several nonlinear Volterra integro-differential equations. The results reveal that the developed method is easy to implement and avoids the additional computational work. Furthermore, the method is a promising approximate tool to solve this class of nonlinear equations and provides us with a convenient way to control and modify the convergence rate of the solution.

Suggested Citation

  • M. H. Daliri Birjandi & J. Saberi-Nadjafi & A. Ghorbani, 2018. "An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2018, pages 1-7, August.
    • Handle: RePEc:hin:jnljam:7461058
    DOI: 10.1155/2018/7461058
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    Cited by:

    1. Dossan Baigereyev & Dinara Omariyeva & Nurlan Temirbekov & Yerlan Yergaliyev & Kulzhamila Boranbek, 2022. "Numerical Method for a Filtration Model Involving a Nonlinear Partial Integro-Differential Equation," Mathematics, MDPI, vol. 10(8), pages 1-24, April.

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