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Iterative numerical method for fuzzy Volterra linear integral equations in two dimensions

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Abstract

In this paper, we propose an iterative numerical method for two-dimensional fuzzy Volterra linear integral equations. The method uses a recent fuzzy trapezoidal cubature formula for Lipschitzian fuzzy-number-valued functions applied at each iterative step. The convergence of the method is proved providing an error estimate and some numerical experiments illustrate the accuracy of this method confirming the theoretical results.

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Authors and Affiliations

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

    Alexandru Mihai Bica

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

    Shokrollah Ziari

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  1. Alexandru Mihai Bica
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  2. Shokrollah Ziari
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Correspondence to Shokrollah Ziari.

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Communicated by A. Di Nola.

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Bica, A.M., Ziari, S. Iterative numerical method for fuzzy Volterra linear integral equations in two dimensions. Soft Comput 21, 1097–1108 (2017). https://doi.org/10.1007/s00500-016-2085-2

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