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Solving fuzzy Fredholm linear integral equations using Sinc method and double exponential transformation

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Abstract

In this paper, numerical solution of fuzzy Fredholm linear integral equations is considered by applying Sinc method based on double exponential transformation with dual fuzzy linear systems. For this purpose, we convert the given fuzzy integral equation to a fuzzy linear system of equation. In this case, the Sinc collocation method with double exponential transformation is used. Numerical examples are provided to verify the validity of the proposed algorithm.

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Acknowledgments

The authors would like to thank the anonymous reviewers for their careful reading.

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Authors and Affiliations

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

    M. A. Fariborzi Araghi & Gh. Kazemi Gelian

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

    Gh. Kazemi Gelian

Authors
  1. M. A. Fariborzi Araghi
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  2. Gh. Kazemi Gelian
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Correspondence to M. A. Fariborzi Araghi.

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Communicated by V. Loia.

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Fariborzi Araghi, M.A., Kazemi Gelian, G. Solving fuzzy Fredholm linear integral equations using Sinc method and double exponential transformation. Soft Comput 19, 1063–1070 (2015). https://doi.org/10.1007/s00500-014-1316-7

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  • DOI: https://doi.org/10.1007/s00500-014-1316-7

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