Numerical solution of two-dimensional nonlinear fuzzy Fredholm integral equations via quadrature iterative method

Article type: Research Article

Authors: Gholam, Atiyeh Mashhadi^a | Ezzati, Reza^{a; *} | Allahviranloo, Tofigh^b

Affiliations: [a] Department of Mathematics, Karaj Branch, Islamic Azad university, karaj, Iran | [b] Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran, Iran

Correspondence: [*] Corresponding author. Reza Ezzati, Department of Mathematics, Karaj Branch, Islamic Azad university, karaj, Iran. E-mail: ezati@kiau.ac.ir.

Abstract: In the present study, first, we introduce an iterative method based on quadrature formula for solving two-dimensional nonlinear fuzzy Fredholm integral equations (2DNFFIE). Then, we present error estimation and the numerical stability analysis for the proposed method. Finally, to show the efficiency of the proposed method, supporting examples are also provided.

Keywords: Two-dimensional nonlinear integral equation, quadrature iterative method, convergence analysis, numerical stability analysis

DOI: 10.3233/JIFS-171104

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 1, pp. 661-674, 2019