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A Method for Solving the Time Fractional Heat Conduction Inverse Problem Based on Ant Colony Optimization and Artificial Bee Colony Algorithms

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Information and Software Technologies (ICIST 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 756))

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Abstract

The paper presents an application of ant colony optimization and artificial bee colony algorithms to solve the inverse heat conduction problem of fractional order. In a given fractional heat conduction model, one of the parameters – thermal conductivity coefficient is missing. With output of the model - temperature measurements, functional defining error of approximate solution is created. In order to reconstruct thermal conductivity coefficient we apply swarm intelligence algorithms to minimize created functional.

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Acknowledgement

Publication supported within the framework of grants in the area of scientific research and developmental works founded by Rector of the Silesian University of Technology, 09/010/RGJ17/0020.

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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

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

    Robertas Damaševičius

  2. Kaunas University of Technology, Kaunas, Lithuania

    Vilma Mikašytė

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Brociek, R., Słota, D. (2017). A Method for Solving the Time Fractional Heat Conduction Inverse Problem Based on Ant Colony Optimization and Artificial Bee Colony Algorithms. In: Damaševičius, R., Mikašytė, V. (eds) Information and Software Technologies. ICIST 2017. Communications in Computer and Information Science, vol 756. Springer, Cham. https://doi.org/10.1007/978-3-319-67642-5_29

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  • DOI: https://doi.org/10.1007/978-3-319-67642-5_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67641-8

  • Online ISBN: 978-3-319-67642-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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