The discrete collocation method for Fredholm-Hammerstein integral equations based on moving least squares method

被引：6

作者：

Dastjerdi, Hojatollah Laeli ^{[1
]}

Ghaini, Farid Mohammad Maalek ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2016年 / 93卷 / 08期

关键词：

Fredholm-Hammerstein integral equations; moving least squares method; Meshless method; error analysis; numerical treatment; NUMERICAL-SOLUTION; 2ND KIND;

D O I：

10.1080/00207160.2015.1046846

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to investigate the discrete collocation method based on moving least squares (MLS) approximation for Fredholm-Hammerstein integral equations. The scheme utilizes the shape functions of the MLS approximation constructed on scattered points as a basis in the discrete collocation method. The proposed method is meshless, since it does not require any background mesh or domain elements. Error analysis of this method is also investigated. Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method.

引用

页码：1347 / 1357

页数：11