Numerical solution of linear fuzzy Fredholm integral equations of second kind using iterative method and midpoint quadrature formula

Article type: Research Article

Authors: Samadpour Khalifeh Mahaleh, Vahid | Ezzati, Reza^{; *}

Affiliations: Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Correspondence: [*] Corresponding author. Reza Ezzati, Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran. Tel.: +98 9123618518; Fax: +98 26334403125; E-mail: [email protected].

Abstract: In this paper, first, we introduce method of successive approximations in terms of midpoint quadrature formula, which is given for solving linear fuzzy Fredholm integral equations (FFIEs) of the second kind. Moreover, the convergence of the proposed method is given. Also we investigate the numerical stability of the proposed method with respect to the choice of the first iteration. Finally, two numerical examples are presented to show the accuracy of the proposed method.

Keywords: Linear fuzzy Fredholm integral equation, midpoint quadrature formula

DOI: 10.3233/JIFS-162044

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 1293-1302, 2017