On numerical solution of two-dimensional nonlinear Urysohn fuzzy integral equations based on fuzzy Haar wavelets

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• 作者：R. Ezzati ; ^{ezati@kiau.ac.ir} ; S.M. Sadatrasoul
• 关键词：Two-dimensional nonlinear Urysohn fuzzy integral equations (2DNUFIEs) ; Fuzzy Haar wavelets ; Iterative method ; Numerical stability
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：145-164
• 全文大小：507 K
• 卷排序：309

文摘

In the present paper, using fuzzy Haar wavelets, we introduce an iterative method for numerical solving two-dimensional nonlinear Urysohn fuzzy integral equations (2DNUFIE). We define a useful metric to prove the convergence and error estimate of the method. Moreover, we investigate the numerical stability of the presented numerical successive approximations. Finally, numerical experiments show the accuracy of the method.