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Numerical solution for fuzzy Fredholm integral equations with upper-bound on error by splines interpolation

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Fuzzy Information and Engineering

Abstract

In this paper, a numerical procedure is proposed for the fuzzy linear Fredholm integral equations of the second kind by using splines interpolation. Besides, the convergence conditions and an upper-bound on error are derived. Finally, the advantages of the proposed method have been shown through simulation examples and comparison with Lagrange method.

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Authors and Affiliations

  1. Sama Technical and Vocational Training College, Islamic Azad University, Karaj Branch, Karaj, Iran

    Yousef Jafarzadeh

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  1. Yousef Jafarzadeh
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Correspondence to Yousef Jafarzadeh.

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Jafarzadeh, Y. Numerical solution for fuzzy Fredholm integral equations with upper-bound on error by splines interpolation. Fuzzy Inf. Eng. 4, 339–347 (2012). https://doi.org/10.1007/s12543-012-0119-8

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  • DOI: https://doi.org/10.1007/s12543-012-0119-8

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