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Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind

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  • Mohammad Almousa
  • Ahmad Ismail

Abstract

The aim of this study is to present the use of a semi analytical method called the optimal homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of the first kind. Three examples are discussed to show the ability of the method to solve the linear Fredholm integral equations of the first kind. The results indicated that the method is very effective and simple.

Suggested Citation

  • Mohammad Almousa & Ahmad Ismail, 2013. "Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, July.
    • Handle: RePEc:hin:jnlaaa:278097
    DOI: 10.1155/2013/278097
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    Cited by:

    1. Chu, Yu-Ming & Ullah, Saif & Ali, Muzaher & Tuzzahrah, Ghulam Fatima & Munir, Taj, 2022. "Numerical Investigation of Volterra Integral Equations of Second Kind using Optimal Homotopy Asymptotic Method," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    2. Remus-Daniel Ene & Nicolina Pop & Rodica Badarau, 2023. "Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions," Mathematics, MDPI, vol. 11(7), pages 1-22, March.

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