Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets

被引：64
作者：
Maleknejad, K. [1 ]
Sohrabi, S. [1 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 16846, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 01期
关键词：
first kind Fredholm integral equations; Galerkin method; Legendre wavelets; CG method;
D O I：
10.1016/j.amc.2006.08.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An efficient method based on the Legendre wavelet approach is proposed for approximate the solution of Fredholm integral equations of the first kind. The continues Legendre wavelets constructed on [0, 1] are utilized as a basis in Galerkin method to reduce the solution of linear integral equations to a system of algebraic equations. For solving this system, we use the CG method. Furthermore, we suggest a convergence analysis and error estimation for this method. For showing efficiency of method some test problems, for which the exact solution is known, are considered. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：836 / 843
页数：8
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