Numerical solutions of the nonlinear fuzzy Hammerstein-Volterra delay integral equations

被引：26
|
作者：
Bica, Alexandru Mihai [1 ]
Popescu, Constantin [1 ]
机构：
[1] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania
来源：
INFORMATION SCIENCES | 2013年 / 223卷
关键词：
Fuzzy number; Fuzzy Hammerstein-Volterra delay integral equation; Numerical method; Mathematical model in epidemiology; RUNGE-KUTTA METHODS; DIFFERENTIAL-EQUATIONS; VALUED FUNCTIONS; CAUCHY-PROBLEM; 2ND KIND; EXISTENCE; COLLOCATION; UNIQUENESS; STABILITY; THEOREM;
D O I：
10.1016/j.ins.2012.10.022
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, an iterative numerical method that solves nonlinear fuzzy Hammerstein-Volterra integral equations with constant delay is developed. By using the error estimates, a practical stopping criterion of the algorithm is obtained. The convergence and the numerical stability of the method is proved and its accuracy is illustrated on three numerical examples. The study of this integral equation is important because it has as a particular case the fuzzy variant of a mathematical model from epidemiology. (C) 2012 Elsevier Inc. All rights reserved.
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页码：236 / 255
页数：20
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