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Legendre spectral collocation technique for fractional inverse heat conduction problem

Author

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  • M. A. Abdelkawy

    (Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia†Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt)

  • Mohammed M. Babatin

    (Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia)

  • Abeer S. Alnahdi

    (Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia)

  • T. M. Taha

    (��Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt)

Abstract

For fractional inverse heat conduction problem (FIHCP), this paper introduces a numerical study. For the proposed FIHCP, in addition to the unknown function of temperature, the boundary heat fluxes are also unknown. Related to the two independent variables, the proposed scheme uses a fully spectral collocation treatment. Our technique is determined to be more accurate, efficient and practicable. The obtained results confirmed the exponential convergence of the spectral scheme.

Suggested Citation

  • M. A. Abdelkawy & Mohammed M. Babatin & Abeer S. Alnahdi & T. M. Taha, 2022. "Legendre spectral collocation technique for fractional inverse heat conduction problem," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-15, May.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:05:n:s0129183122500656
    DOI: 10.1142/S0129183122500656
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    Cited by:

    1. Mohammed M. Al-Shomrani & Mohamed A. Abdelkawy & António M. Lopes, 2023. "Spectral Collocation Technique for Solving Two-Dimensional Multi-Term Time Fractional Viscoelastic Non-Newtonian Fluid Model," Mathematics, MDPI, vol. 11(9), pages 1-14, April.

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