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Numerical Solution of Linear Fuzzy Fredholm Integral Equations of the Second Kind Using Fuzzy Haar Wavelet

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Book cover Advances in Computational Intelligence (IPMU 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 299))

Abstract

In this paper, a new approach based on fuzzy Haar wavelet is proposed to solve linear fuzzy Fredholm integral equations of the second kind (FFIE-2). Moreover, the error estimate of the proposed method is given. Finally, illustrative examples are included to show the accuracy and efficiency of the proposed method.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Firuozkooh Branch, Islamic Azad University, Firuozkooh, Iran

    Shokrollah Ziari

  2. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

    Reza Ezzati

  3. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran

    Saeid Abbasbandy

Authors
  1. Shokrollah Ziari
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  2. Reza Ezzati
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  3. Saeid Abbasbandy
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Editor information

Editors and Affiliations

  1. Faculty of Economics, University of Catania, Corso Italia, 55, 95129, Catania, Italy

    Salvatore Greco  & Benedetto Matarazzo  & 

  2. CNRS UMR 7606, DAPA, LIP6 8, Université Pierre et Marie Curie - Paris6, rue du Capitaine Scott, F-75015, Paris, France

    Bernadette Bouchon-Meunier

  3. Dip. Matematica e Informatica, Università di Perugia, 06123, Perugia, Italy

    Giulianella Coletti

  4. Department of Computer and Management Science, University of Trento, Via Inama 5, 38122, Trento, Italy

    Mario Fedrizzi

  5. Machine Intelligence Institute — IONA College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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© 2012 Springer-Verlag Berlin Heidelberg

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Ziari, S., Ezzati, R., Abbasbandy, S. (2012). Numerical Solution of Linear Fuzzy Fredholm Integral Equations of the Second Kind Using Fuzzy Haar Wavelet. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31718-7_9

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  • DOI: https://doi.org/10.1007/978-3-642-31718-7_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31717-0

  • Online ISBN: 978-3-642-31718-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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