Numerical methods for Fredholm integral equations on the square

被引：29

作者：

Occorsio, Donatella ^{[1
]}

Russo, Maria Grazia ^{[1
]}

机构：

[1] Univ Basilicata, Dept Math & Comp Sci, I-85100 Potenza, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 05期

关键词：

Fredholm integral equations; Projection methods; Nystrom method; LAGRANGE INTERPOLATION;

D O I：

10.1016/j.amc.2011.07.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we shall investigate the numerical solution of two-dimensional Fredholm integral equations by Nystrom and collocation methods based on the zeros of Jacobi orthogonal polynomials. The convergence, stability and well conditioning of the method are proved in suitable weighted spaces of functions. Some numerical examples illustrate the efficiency of the methods. (C) 2011 Elsevier Inc. All rights reserved.

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收藏

页码：2318 / 2333

页数：16

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