DocumentCode
1909116
Title
Application of circular harmonic wavelets towards solution of the Fredholm type integral equations
Author
Kudreyko, Aleksey A.
Author_Institution
Dept. of Math. & Comput. Sci., Univ. of Salerno, Salerno, Italy
fYear
2009
fDate
26-29 May 2009
Firstpage
122
Lastpage
127
Abstract
In our work we extend a new approach presented in towards solution of the Fredholm type integral equations of the second kind. The so-called circular or periodic harmonic wavelets were used as the basis functions in the collocation method. The efficiency of our approach, which is connected to the choice of the basis functions, is presented on the testing examples and compared with other methods. It is proved that circular harmonic wavelets satisfy the axioms of the multiresolution analysis.
Keywords
harmonic analysis; integral equations; wavelet transforms; Fredholm type integral equations; axioms; circular harmonic wavelets; collocation method; multiresolution analysis; periodic harmonic wavelets; Approximation methods; Equations; Harmonic analysis; Integral equations; Multiresolution analysis; Wavelet transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Days on Diffraction (DD), 2009 Proceedings of the International Conference
Conference_Location
St. Petersburg
Print_ISBN
978-1-4244-4874-6
Type
conf
Filename
5562618
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