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Article type: Research Article
Authors: Ma, Yanyinga; b; c | Huang, Jinb | Liu, Hongyanb | Wang, Changqingd; *
Affiliations: School of Mathematics and Physics, Anhui Jianzhu University, Hefei, Anhui, P.R. China | [b] School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China | [c] Department of Mechanical and Materials Engineering, University of Cincinnati, Cincinnati, Ohio, USA | [d] School of Life Science, Anhui Medical University, Hefei, Anhui, P.R. China
Correspondence: [*] Corresponding author. Changqing Wang, School of Life Science, Anhui Medical University, Hefei, Anhui, P.R. China. E-mail: wangchangqing199008@gmail.com.
Abstract: The purpose of this paper is to provide an efficient numerical technique for solving two-dimensional nonlinear fuzzy Fredholm integral equations. The fuzzy Gauss quadrature rule is applied to the above mentioned equation, which reduces the fuzzy integral equations to the nonlinear approximate equations that can be easily solved by a numerical iterative algorithm. The convergence of the presented numerical method is investigated under several mild conditions. Finally, some illustrative numerical experiments are provided to illustrate the efficiency and accuracy of the proposed method.
Keywords: Two-dimensional, nonlinear, fuzzy Fredholm integral equations, Gauss quadrature, Iterative method
DOI: 10.3233/JIFS-17402
Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2281-2291, 2018
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