New Approach for Solving of Linear Fredholm Fuzzy Integral Equations Using Sinc Function

Volume 3, Issue 4, pp 422--431 http://dx.doi.org/10.22436/jmcs.03.04.08

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Authors

Mohammad Keyanpour - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran Tahereh Akbarian - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

Abstract

A numerical method is proposed to solve linear fredholm fuzzy integral equations(LFFIE). The proposed method in this paper is based on concept of the parametric form of fuzzy numbers and Sinc wavelet. By using the parametric form of fuzzy numbers linear fredholm fuzzy integral equations have been converted into a system of fredholm integral equations in the crisp form, and Sinc approach this problem reduced to solving algebraic equations. The efficiency of the proposed approach is demonstrated by numerical examples.

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Keywords

• Sinc function
• Linear fredholm fuzzy integral equation
• Fuzzy parametric form.

MSC

•  45B05
•  15B15
•  26E50
•  34A07

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