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A numerical method for solving the Fredholm integral equation of the second kind

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Abstract

The numerical method is used to solve the Fredholm integral equation of the second kind with weak singular kernels using the Toeplitz matrices. The solution has a computing time requirement ofO(N 2), where 2N + 1 is the number of discretization points used. Also, the error estimate is computed. Some numerical examples are computed using the MathCad package.

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Authors and Affiliations

  1. Faculty of Education, Alexandria University, Alexandria, Egypt

    M. A. Abdou & S. A. Mahmoud

  2. Faculty of Education, Alexandria University Damanhour branch, Egypt

    M. A. Darwish

Authors
  1. M. A. Abdou
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  2. S. A. Mahmoud
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  3. M. A. Darwish
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Abdou, M.A., Mahmoud, S.A. & Darwish, M.A. A numerical method for solving the Fredholm integral equation of the second kind. Korean J. Comput. & Appl. Math. 5, 251–258 (1998). https://doi.org/10.1007/BF03008911

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  • DOI: https://doi.org/10.1007/BF03008911

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