The multi-projection method for weakly singular Fredholm integral equations of the second kind

被引：9
|
作者：
Long, Guangqing [1 ,2 ]
Nelakanti, Gnaneshwar [3 ]
机构：
[1] Guangxi Normal Coll, Dept Math, Nanning 530001, Peoples R China
[2] Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[3] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 14期
基金：
中国博士后科学基金;
关键词：
super-convergence rates; multi-projection methods; singularity preserving; Petrov-Galerkin methods; integral equations; OPERATOR-EQUATIONS; GALERKIN METHODS;
D O I：
10.1080/00207160903019472
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a multi-projection method and its re-iterated algorithm for solving weakly singular Fredholm integral equations of the second kind. We apply our methods to Petrov-Galerkin versions to establish excellent superconvergence results, and we illustrate our theoretical results with a numerical example.
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页码：3254 / 3265
页数：12
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