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Application of Wavelet-Basis for Solution of the Fredholm Type Integral Equations

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Computational Science and Its Applications – ICCSA 2010 (ICCSA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6017))

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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.

The work of A. Kudreyko is supported by the Istituto Nazionale di Alta Matematica Francesco Severi (Rome-IT) under scholarship U 2008/000564, 21/11/2008.

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Author information

Authors and Affiliations

  1. diFarma, University of Salerno, Via Ponte Don Melillo, 84084, Fisciano, (SA), Italy

    Carlo Cattani

  2. Department of Mathematics and Computer Science, University of Salerno, Via Ponte Don Melillo, 84084, Fisciano, (SA), Italy

    Aleksey Kudreyko

Authors
  1. Carlo Cattani
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  2. Aleksey Kudreyko
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Editor information

Editors and Affiliations

  1. Monash University, Clayton School of Information Technology, VIC 3800, Clayton, Australia

    David Taniar

  2. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 1, 06123, Perugia, Italy

    Osvaldo Gervasi

  3. University of Basilicata, L.I.S.U.T. - D.A.P.I.T., Viale dell’Ateneo Lucano 10, 85100, Potenza, Italy

    Beniamino Murgante

  4. Department of Computer Science and Computer Engineeering, LaTrobe University, VIC 3086, Bundoora, Australia

    Eric Pardede

  5. Department of Intelligent Informatics, Kyushu Sangyo University, 813-8503, Fukuoka, Japan

    Bernady O. Apduhan

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© 2010 Springer-Verlag Berlin Heidelberg

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Cattani, C., Kudreyko, A. (2010). Application of Wavelet-Basis for Solution of the Fredholm Type Integral Equations. In: Taniar, D., Gervasi, O., Murgante, B., Pardede, E., Apduhan, B.O. (eds) Computational Science and Its Applications – ICCSA 2010. ICCSA 2010. Lecture Notes in Computer Science, vol 6017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12165-4_13

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  • DOI: https://doi.org/10.1007/978-3-642-12165-4_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12164-7

  • Online ISBN: 978-3-642-12165-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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