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Numerical solution of the first kind Fredholm integral equations by projection methods with wavelets as the basis functions.

Numerical solution of the first kind Fredholm integral equations by projection methods with wavelets as the basis functions.

Authors :
Temirbekov, Nurlan
Temirbekova, Laura
Source :
AIP Conference Proceedings. 11/7/2022, Vol. 2483 Issue 1, p1-4. 4p.
Publication Year :
2022

Abstract

In this article several numerical methods are used for solving the first kind of integral equations. Most of the works are based on projection methods. One of the most attractive developments in recent years has been the use of wavelets as basis functions in projection methods. Wavelet technology makes it possible to create very efficient algorithms in comparison with known regularizing algorithms. We obtained a numerical solution using the proposed method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
2483
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
160067721
Full Text :
https://doi.org/10.1063/5.0116266