New error estimate in the iterative numerical method for nonlinear fuzzy Hammerstein-Fredholm integral equations

被引：21
|
作者：
Ziari, Shokrollah [1 ]
Bica, Alexandru Mihai [2 ]
机构：
[1] Islamic Azad Univ, Dept Math, Firoozkooh Branch, Firoozkooh, Iran
[2] Univ Oradea, Dept Math & Informat, Univ St 1, Oradea 410087, Romania
来源：
FUZZY SETS AND SYSTEMS | 2016年 / 295卷
关键词：
Nonlinear fuzzy Hammerstein-Fredholm integral equations; Iterative numerical method; Uniform modulus of continuity; Partial modulus of continuity; EXISTENCE; UNIQUENESS;
D O I：
10.1016/j.fss.2015.09.021
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we obtain the error estimation of the iterative method based on quadrature formula to solve nonlinear fuzzy Fredholm integral equations of the second kind given in Fuzzy Sets & Syst. 245 (2014) 1-17, in terms of uniform and partial modulus of continuity. Moreover, we extend in the context of using the modulus of continuity, the notion of numerical stability of the solution with respect to the first iteration. (C) 2015 Elsevier B.V. All rights reserved.
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页码：136 / 152
页数：17
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