Iterative method for numerical solution of two-dimensional nonlinear fuzzy integral equations

被引：25
|
作者：
Sadatrasoul, S. M. [1 ]
Ezzati, R. [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran
来源：
FUZZY SETS AND SYSTEMS | 2015年 / 280卷
关键词：
Two-dimensional nonlinear fuzzy Fredholm integral equations; Uniform and partial modulus of continuity; Banach fixed point theorem; The method of successive approximations; Iterative method; EXISTENCE; UNIQUENESS;
D O I：
10.1016/j.fss.2014.12.008
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 two-dimensional nonlinear fuzzy Fredholm integral equations of the second kind. Also, we present an iterative procedure based on quadrature formula to solve such equations. The error estimation of the proposed method is given in terms of uniform and partial modulus of continuity. Finally, some numerical experiments confirm the theoretical results and illustrate the accuracy of the method. (C) 2014 Elsevier B.V. All rights reserved.
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页码：91 / 106
页数：16
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