Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 570136, 8 pages
doi:10.1155/2010/570136
Research Article

Application of Periodized Harmonic Wavelets towards Solution of Eigenvalue Problems for Integral Equations

Carlo Cattani1 and Aleksey Kudreyko2

1diFarma, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy
2Department of Mathematics and Computer Science, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy

Received 12 October 2009; Accepted 19 November 2009

Academic Editor: Alexander P. Seyranian

Copyright © 2010 Carlo Cattani and Aleksey Kudreyko. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This article deals with the application of the periodized harmonic wavelets for solution of integral equations and eigenvalue problems. The solution is searched as a series of products of wavelet coefficients and wavelets. The absolute error for a general case of the wavelet approximation was analytically estimated.