An Efficient Method for the Numerical Solution of the Nonlinear Hammerstein Fractional Integral Equations

被引：0
|
作者：
Ahmadabadi, M. Nili [1 ]
Velayati, M. R. [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Najafabad Branch, Najafabad, Iran
来源：
FILOMAT | 2021年 / 35卷 / 02期
关键词：
Nonlinear integral equations; Hammerstein equations; Picard iteration; Numerical method;
D O I：
10.2298/FIL2102419A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a numerical method for solving nonlinear Hammerstein fractional integral equations. The method approximates the solution by Picard iteration together with a numerical integration designed for weakly singular integrals. Error analysis of the proposed method is also investigated. Numerical examples approve its efficiency in terms of accuracy and computational cost.
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页码：419 / 429
页数：11
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