The numerical solution of nonlinear Hammerstein fuzzy integral equations by using fuzzy wavelet like operator

Article type: Research Article

Authors: Mokhtarnejad, Fatemeh | Ezzati, Reza

Affiliations: Department of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University, Alborz, Iran

Note: [] Corresponding author. Reza Ezzati, Department of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University, Alborz, Iran. E-mail: ezati@kiau.ac.ir

Abstract: In this paper, we propose a successive approximation method based on fuzzy wavelet like operator for the approximate solution of nonlinear Hammerstein fuzzy integral equations (NHFIE). For this purpose, the convergence conditions and an error estimate are given. Finally, to show the efficiency of presented method, some test problems, for which the exact solution is known, are considered.

Keywords: Nonlinear fuzzy integral equation, Hammerstein fuzzy integral equation, fuzzy wavelet like operator, successive approximation method

DOI: 10.3233/IFS-141446

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 4, pp. 1617-1626, 2015