Numerical expansion methods for solving integral equations by interpolation and Gauss quadrature rules

被引：16

作者：

Maleknejad, K ^{[1
]}

Lotfi, T

机构：

[1] Islamic Azad Univ, Karaj Unit, Dept Math, Fac Sci, Rajaee Shahr 3149968111, Karaj, Iran

[2] Islamic Azad Univ Tehran, Dept Math, Tehran, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 168卷 / 01期

关键词：

integral equations; interpolation; expansion method; quadrature rule;

D O I：

10.1016/j.amc.2004.08.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a numerical method for solving linear integral equations. The main idea based on interpolation for unknown function, where is interpolated in the zeros of the Chebyshev's polynomials. Next, we use Gauss quadrature rules as Gauss-Chebyshev or Clenshaw-Curtis. The technique is very effective and simple, specially, for integral equations of first kind, as Fredholm's and Volterra's types. In the end, for showing efficiency of this method, we use numerical examples. (c) 2004 Published by Elsevier Inc.

引用

页码：111 / 124

页数：14