A meshless approximate solution of mixed Volterra-Fredholm integral equations

被引：11

作者：

Dastjerdi, H. Laeli ^{[1
]}

Ghaini, F. M. Maalek ^{[1
]}

Hadizadeh, M. ^{[2
]}

机构：

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

[2] KN Toosi Univ Technol, Dept Math, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 03期

关键词：

mixed VolterraFredholm integral equation; collocation method; radial basis functions; meshless method; numerical treatment; 45A99; 45A05; SPREAD;

D O I：

10.1080/00207160.2012.720677

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a meshless method using a radial basis function collocation scheme for numerical solution of mixed VolterraFredholm integral equations, where the region of integration is a non-rectangular domain. We will show that this method requires only a scattered data of nodes in the domain. It is shown that the proposed scheme is simple and computationally attractive. Applications of the method are also demonstrated through illustrative examples.

引用

页码：527 / 538

页数：12

共 23 条

[1] Two-dimensional Legendre wavelets method for the mixed Volterra-Fredholm integral equations [J].