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

2022

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DOI 10.1063/5.0116266
Data confidence 70 medium
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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.