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.

引用

页码：419 / 429

页数：11

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