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Laguerre Collocation Method for Solving Fredholm Integro‐Differential Equations with Functional Arguments

Author

Listed:
  • Burcu Gürbüz
  • Mehmet Sezer
  • Coşkun Güler

Abstract

Laguerre collocation method is applied for solving a class of the Fredholm integro‐differential equations with functional arguments. This method transforms the considered problem to a matrix equation which corresponds to a system of linear algebraic equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. Also, the approximate solutions are corrected by using the residual correction method.

Suggested Citation

  • Burcu Gürbüz & Mehmet Sezer & Coşkun Güler, 2014. "Laguerre Collocation Method for Solving Fredholm Integro‐Differential Equations with Functional Arguments," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:682398
    DOI: 10.1155/2014/682398
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    References listed on IDEAS

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    1. E. H. Doha & D. Baleanu & A. H. Bhrawy & M. A. Abdelkawy, 2013. "A Jacobi Collocation Method for Solving Nonlinear Burgers‐Type Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. E. H. Doha & D. Baleanu & A. H. Bhrawy & M. A. Abdelkawy, 2013. "A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, October.
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    Cited by:

    1. Shabaz Jalil Mohammedfaeq & Miran Bayan Mohammed Amin & Dashne Chapuk Zahir & Shazad Shawki Ahmed, 2025. "An Effective Method for Solving Fractional Integrodifferential Equations of the Volterra and Fredholm Types Based on the Lucas Polynomials," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).

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