Solving two-dimensional Volterra-Fredholm integral equations of the second kind by using Bernstein polynomials

被引：9

作者：

Dahaghin, M. Sh. ^{[1
,2
]}

Eskandari, Sh. ^{[1
,2
]}

机构：

[1] Shahrekord Univ, Dept Math, Shahrekord, Iran

[2] Shaherkord Univ, Shaherkord, Iran

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2017年 / 32卷 / 01期

关键词：

NUMERICAL-SOLUTION;

D O I：

10.1007/s11766-017-3352-4

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 two-dimensional Volterra-Fredholm integral equations of the second kind (2DV-FK2). Our method is based on approximating unknown function with Bernstein polynomials. We obtain an error bound for this method and employ the method on some numerical tests to show the efficiency of the method.

引用

页码：68 / 78

页数：11

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