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Perturbed Galerkin Method for Solving Integro‐Differential Equations

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  • K. Issa
  • J. Biazar
  • T. O. Agboola
  • T. Aliu

Abstract

In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro‐differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro‐differential equation into a system of linear equations. The systems of linear equations are then solved to obtain the approximate solution. Examples to justify the effectiveness and accuracy of the method are presented and their numerical results are compared with Galerkin’s method, Taylor’s series method, and Tau’s method which provide validation for the proposed approach. The errors obtained justify the effectiveness and accuracy of the method.

Suggested Citation

  • K. Issa & J. Biazar & T. O. Agboola & T. Aliu, 2022. "Perturbed Galerkin Method for Solving Integro‐Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnljam:v:2022:y:2022:i:1:n:9748558
    DOI: 10.1155/2022/9748558
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    References listed on IDEAS

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    1. 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.
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