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Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method

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  • K. Issa
  • F. Salehi

Abstract

In this work, we obtain the approximate solution for the integrodifferential equations by adding perturbation terms to the right hand side of integrodifferential equation and then solve the resulting equation using Chebyshev-Galerkin method. Details of the method are presented and some numerical results along with absolute errors are given to clarify the method. Where necessary, we made comparison with the results obtained previously in the literature. The results obtained reveal the accuracy of the method presented in this study.

Suggested Citation

  • K. Issa & F. Salehi, 2017. "Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method," Journal of Mathematics, Hindawi, vol. 2017, pages 1-6, January.
  • Handle: RePEc:hin:jjmath:8213932
    DOI: 10.1155/2017/8213932
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    Cited by:

    1. Musa Cakir & Baransel Gunes, 2022. "A Fitted Operator Finite Difference Approximation for Singularly Perturbed Volterra–Fredholm Integro-Differential Equations," Mathematics, MDPI, vol. 10(19), pages 1-19, September.

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