An iterative numerical method to solve nonlinear fuzzy Volterra-Hammerstein integral equations

Article type: Research Article

Authors: Ziari, Shokrollah^{a; *} | Bica, Alexandru Mihai^b

Affiliations: [a] Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran | [b] Department of Mathematics and Informatics, University of Oradea, Oradea, Romania

Correspondence: [*] Corresponding author. Shokrollah Ziari, Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran. E-mail: sziari@iaufb.ac.ir.

Abstract: In this paper, an iterative numerical method has been developed to solve nonlinear fuzzy Volterra integral equations based on three-point quadrature formula. The error estimation of the method is obtained based on Lipschitz condition and in order to confirm the yielded theoretical results, we perform the iterative method on some numerical examples.

Keywords: Nonlinear fuzzy Volterra-Hammerstein integral equations, Iterative numerical method, L-Lipschitz fuzzy functions

DOI: 10.3233/JIFS-190149

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 6717-6729, 2019