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Numerical Methods for Solving Fredholm Integral Equations of Second Kind

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  • S. Saha Ray
  • P. K. Sahu

Abstract

Integral equation has been one of the essential tools for various areas of applied mathematics. In this paper, we review different numerical methods for solving both linear and nonlinear Fredholm integral equations of second kind. The goal is to categorize the selected methods and assess their accuracy and efficiency. We discuss challenges faced by researchers in this field, and we emphasize the importance of interdisciplinary effort for advancing the study on numerical methods for solving integral equations.

Suggested Citation

  • S. Saha Ray & P. K. Sahu, 2013. "Numerical Methods for Solving Fredholm Integral Equations of Second Kind," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:426916
    DOI: 10.1155/2013/426916
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    References listed on IDEAS

    as
    1. Javidi, M. & Golbabai, A., 2009. "Modified homotopy perturbation method for solving non-linear Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1408-1412.
    2. Abdul-Majid Wazwaz, 2011. "Linear and Nonlinear Integral Equations," Springer Books, Springer, number 978-3-642-21449-3, October.
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    Cited by:

    1. Hassan A. Zedan & Eman Alaidarous, 2014. "Haar Wavelet Method for the System of Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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