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Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle

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Abstract

In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions.

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Acknowledgments

The Authors would like to thank the anonymous referees for their careful reading and helpful comments and also the research assistance of Islamic Azad university, central Tehran branch, for their financial supports.

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Authors and Affiliations

  1. Department of Mathematics, Central Tehran Branch, Islamic Azad University, P.O. Box 13185.768, Tehran, Iran

    M. A. Fariborzi Araghi

  2. Department of Mathematics, Islamic Azad University of Kermanshah Branch, Kermanshah, Iran

    N. Parandin

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  1. M. A. Fariborzi Araghi
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  2. N. Parandin
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Correspondence to M. A. Fariborzi Araghi.

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Fariborzi Araghi, M.A., Parandin, N. Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle. Soft Comput 15, 2449–2456 (2011). https://doi.org/10.1007/s00500-011-0706-3

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  • DOI: https://doi.org/10.1007/s00500-011-0706-3

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