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Iterative fuzzy Bernstein polynomials method for nonlinear fuzzy Volterra integral equations

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Abstract

An iterative method based on fuzzy Bernstein polynomials is presented for solving nonlinear fuzzy Volterra integral equations. To prove the convergence of the method, an error estimate is given in terms of Lipschitz constants. The accuracy of this method is illustrated by some numerical experiments that confirm the convergence stated in the theoretical result.

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Authors and Affiliations

  1. Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran

    Shokrollah Ziari

  2. Department of Mathematics and Informatics, University of Oradea, Universitatii 1, 410087, Oradea, Romania

    Alexandru Mihai Bica

  3. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

    Reza Ezzati

Authors
  1. Shokrollah Ziari
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  2. Alexandru Mihai Bica
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  3. Reza Ezzati
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Correspondence to Shokrollah Ziari.

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Communicated by Leonardo Tomazeli Duarte.

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Ziari, S., Bica, A.M. & Ezzati, R. Iterative fuzzy Bernstein polynomials method for nonlinear fuzzy Volterra integral equations. Comp. Appl. Math. 39, 316 (2020). https://doi.org/10.1007/s40314-020-01361-x

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  • DOI: https://doi.org/10.1007/s40314-020-01361-x

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