Approximating the solution of nonlinear Hammerstein fuzzy integral equations

被引：47

作者：

Bica, Alexandru Mihai ^{[1
]}

Popescu, Constantin ^{[1
]}

机构：

[1] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania

来源：

FUZZY SETS AND SYSTEMS | 2014年 / 245卷

关键词：

Fuzzy number; Fuzzy Hammerstein integral equations; The method of successive approximations; The convergence of the algorithm; Numerical stability; NUMERICAL-SOLUTION; 2ND KIND; EXISTENCE; NUMBERS;

D O I：

10.1016/j.fss.2013.08.005

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we prove the convergence of the method of successive approximations used to approximate the solution of nonlinear Hammerstein fuzzy integral equations and define the notion of numerical stability of the algorithm with respect to the choice of the first iteration. This numerical stability is proved and finally, some numerical experiments confirm the theoretical results and illustrate the accuracy of the method. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1 / 17

页数：17

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