Wavelet moment method for solving Fredholm integral equations of the first kind

被引：17
作者：
Babolian, E.
Lotfi, T.
Paripour, M.
机构：
[1] Teacher Training Univ, Dept Comp & Math, Tehran 15614, Iran
[2] Islamic Azad Univ, Hamadan Branch, Dept Math, Hamadan, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 02期
关键词：
Fredholm integral equations of the first kind; wavelets; moment method; linear system;
D O I：
10.1016/j.amc.2006.07.165
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we suggest an efficient method for solving Fredholm integral equations of the first kind, using wavelets as basis functions in the moment method and reducing the order of the linear equation, rather than making the matrix sparse. In the end, we give some numerical examples. (c) 2006 Published by Elsevier Inc.
引用
收藏
页码：1467 / 1471
页数：5
相关论文
共 19 条
[1]  
Abbasbandy S., 1996, J SCI TEACHER TRAINI, V7
[2]  
Abbasbany S., 1997, ACTA MATH SCI, V17
[3]  
ALPERT B, 1993, SIAM J MATH ANAL, V24
[4]  
[Anonymous], 1985, COMPUTATIONAL METHOD
[5]  
Babolian E., 1979, J I MATH APPL, P157
[6]  
Baker C. T. H., 1978, NUMERICAL TREATMENT
[7]   FAST WAVELET TRANSFORMS AND NUMERICAL ALGORITHMS .1. [J].
BEYLKIN, G ;
COIFMAN, R ;
ROKHLIN, V .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (02) :141-183
[8]  
Bitsadze A.V., 1995, Integral equations of First Kind
[9]  
Burrus C.S., 1998, introduction to Wavelets and Wavelet Transforms-A Primer
[10]  
CHENY W, 2000, COURSE APPROXIMATION
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