Developing an Iterative Method to Solve Two- and Three-Dimensional Mixed Volterra-Fredholm Integral Equations

被引：0

作者：

Khazaeian, J. ^{[1
]}

Parandin, N. ^{[2
]}

Yaghoobi, F. Mohammadi ^{[1
]}

Karamikabir, N. ^{[1
]}

机构：

[1] Islamic Azad Univ, Hamedan Branch, Dept Math, Dubai, U Arab Emirates

[2] Islamic Azad Univ, Kermanshah Branch, Dept Math, Dubai, U Arab Emirates

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2022年 / 16卷 / 02期

关键词：

Nonlinear mixed Volterra-Fredholm integral equations; Iterative method; Banach fixed point theorem; Numerical solution; COMPUTATIONAL METHOD; NUMERICAL-SOLUTION; SPREAD;

D O I：

10.30495/JME.2022.1345

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, an iterative method is extended to solve nonlinear two- and three-dimensional mixed Volterra-Fredholm integral equations. We consider a nonlinear operator of these integral equations and then develop the iterative method which was introduced in [J MATH ANAL APPL. 316 (2006) 753-763] to solve them. Convergence property of the suggested schemes are proved under some mild assumptions. In both cases, numerical examples are given to compare the performance of the proposed method with some existing methods.

引用

页数：18

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