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Advances in Modelling and Control of Non-integer-Order Systems pp 239–247Cite as

Reconstruction of the Thermal Conductivity Coefficient in the Time Fractional Diffusion Equation

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 320))

Abstract

This paper describes reconstruction of the thermal conductivity coefficient in the time fractional diffusion equation. Additional information for the considered inverse problem was given by the temperature measurements at selected points of the domain. The direct problem was solved by using the finite difference method. To minimize functional defining the error of approximate solution the Fibonacci search algorithm was used.

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Authors and Affiliations

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

    Rafał Brociek, Damian Słota & Roman Wituła

Authors
  1. Rafał Brociek
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  2. Damian Słota
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  3. Roman Wituła
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Corresponding author

Correspondence to Rafał Brociek .

Editor information

Editors and Affiliations

  1. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Krzysztof J. Latawiec

  2. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Marian Łukaniszyn

  3. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Rafał Stanisławski

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Brociek, R., Słota, D., Wituła, R. (2015). Reconstruction of the Thermal Conductivity Coefficient in the Time Fractional Diffusion Equation. In: Latawiec, K., Łukaniszyn, M., Stanisławski, R. (eds) Advances in Modelling and Control of Non-integer-Order Systems. Lecture Notes in Electrical Engineering, vol 320. Springer, Cham. https://doi.org/10.1007/978-3-319-09900-2_22

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  • DOI: https://doi.org/10.1007/978-3-319-09900-2_22

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09899-9

  • Online ISBN: 978-3-319-09900-2

  • eBook Packages: EngineeringEngineering (R0)

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