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Application of Intelligent Algorithm to Solve the Fractional Heat Conduction Inverse Problem

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Information and Software Technologies (ICIST 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 538))

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Abstract

This paper describes an application of an intelligent algorithm to reconstruct the boundary condition of second kind in the heat conduction equation of fractional order. For this purpose, a functional defining error of approximate solution was minimized. To minimize this functional Ant Colony Optimization (ACO) algorithm was used. Calculations has been performed in parallel way (multi-threaded), so the computation time is significantly shortened. The paper presents examples to illustrate the accuracy and stability of the presented algorithm.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100, Gliwice, Poland

    Rafał Brociek & Damian Słota

Authors
  1. Rafał Brociek
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  2. Damian Słota
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Correspondence to Damian Słota .

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Editors and Affiliations

  1. Kaunas University of Technology, Kaunas, Lithuania

    Giedre Dregvaite

  2. Kaunas University of Technology, Kaunas, Lithuania

    Robertas Damasevicius

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Brociek, R., Słota, D. (2015). Application of Intelligent Algorithm to Solve the Fractional Heat Conduction Inverse Problem. In: Dregvaite, G., Damasevicius, R. (eds) Information and Software Technologies. ICIST 2015. Communications in Computer and Information Science, vol 538. Springer, Cham. https://doi.org/10.1007/978-3-319-24770-0_31

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  • DOI: https://doi.org/10.1007/978-3-319-24770-0_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24769-4

  • Online ISBN: 978-3-319-24770-0

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