Solving system of nonlinear integral equations by Newton-Kantorovich method

被引：1

作者：

Hameed, Hameed Husam ^{[1
]}

Eshkuvatov, Z. K. ^{[1
]}

Muminov, Z. ^{[1
]}

Kilicman, Adem ^{[1
]}

机构：

[1] UPM, Dept Math, Fac Sci, Darul Ehsan, Malaysia

来源：

PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY | 2014年 / 1605卷

关键词：

Newton-Kantorovich method; nonlinear operator; Volterra integral equation;

D O I：

10.1063/1.4887642

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Newton-Kantorovich method is applied to obtain an approximate solution for a system of nonlinear Volterra integral equations which describes a large class of problems in ecology, economics, medicine and other fields. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by the Newton-Kantorovich method with initial guess and this procedure is continued by iteration method to find the unknown functions. Finally, numerical examples are provided to show the validity and the efficiency of the method presented.

引用

页码：518 / 523

页数：6

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