Application of wavelet-basis for solution of the fredholm type integral equations

  • Authors:

  • Carlo Cattani;Aleksey Kudreyko

  • Affiliations:

  • diFarma, University of Salerno, Fisciano, (SA), Italy;Department of Mathematics and Computer Science, University of Salerno, Fisciano, (SA), Italy

  • Venue:
  • ICCSA'10 Proceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part II
  • Year:
  • 2010

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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.