A new iteration method for solving a class of Hammerstein type integral equations system

被引：0

作者：

Karimi, Saeed ^{[1
]}

Dehghan, Maryam ^{[1
]}

Takhtabnoos, Fariba ^{[1
]}

机构：

[1] Persian Gulf Univ, Dept Math, Bushehr 75169, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2015年 / 3卷 / 04期

关键词：

Iterative method; Nonlinear integral equations system; Hammerstein integral equation; Fixed point iteration; Contraction operator;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a new iterative method is proposed for obtaining the approximate solution of a class of Hammerstein type Integral Equations System. The main structure of this method is based on the Richardson iterative method for solving an algebraic linear system of equations. Some conditions for existence and unique solution of this type equations are imposed. Convergence analysis and error bound estimation of the new iterative method are also discussed. Finally, some numerical examples are given to compare the performance of the proposed method with the existing methods.

引用

页码：231 / 246

页数：16

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