Advances in Difference Equations (Jun 2020)

Solving two-dimensional fuzzy Fredholm integral equations via sinc collocation method

  • Yanying Ma,
  • Hu Li,
  • Suping Zhang

DOI
https://doi.org/10.1186/s13662-020-02722-w
Journal volume & issue
Vol. 2020, no. 1
pp. 1 – 19

Abstract

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Abstract In this paper, we present a numerical method to solve two-dimensional fuzzy Fredholm integral equations (2D-FFIE) by combing the sinc method with double exponential (DE) transformation. Using this method, the fuzzy Fredholm integral equations are converted into dual fuzzy linear systems. Convergence analysis is performed in terms of the modulus of continuity. Numerical experiments demonstrate the efficiency of the proposed method.

Keywords