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Research Article Open access CC BY 4.0

The Solution of Fuzzy Integral Equation by Using Sinc Collocation Method

A. Hosseinpour

Asian Research Journal of Mathematics · pp. 1–12 · Published 10 Jan 2018

10.9734/ARJOM/2018/38453

Abstract

The present paper recommends a new approach to solve a fuzzy integral equation. In this work, our main purpose is finding an approximate solution of this problem by using Sinc-collocation method. We first present some properties of the Sinc-collocation method required for our work, then some basic concepts and necessary materials of fuzzy numbers are expressed in the third part of this paper. In the next section, we apply our method for fuzzy integral equation and show that the approximate solution converges to the exact solution at an exponential rate. Numerical examples given in the last part confirm the accuracy and validity of our new technique. In this example, we obtain the Hausdorff distance between exact solution and approximate solution.

Fuzzy integral equations Sinc-collocation methods Hilbert space Conformal map Whittakers cardinal function.

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