Abstract
The paper deals with the application of periodic wavelts as basis functions for solution of the Fredholm type integral equations. We examine a special case for a degenerate kernel and show multiscale solution of an integral equation for a non-degenerate kernel. The benefits of the application of periodic harmonic wavelets are discussed. The approximation error of projection of solution on the space of periodized wavelets is analytically estimated. © 2010 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Cattani, C., & Kudreyko, A. (2010). Application of wavelet-basis for solution of the Fredholm type integral equations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6017 LNCS, pp. 155–163). Springer Verlag. https://doi.org/10.1007/978-3-642-12165-4_13
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