Legendre spectral collocation technique for fractional inverse heat conduction problem

M. A. Abdelkawy, Mohammed M. Babatin, Abeer S. Alnahdi and T. M. Taha
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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

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 05, 1-15

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.

Keywords: Inverse problem; spectral collocation method; fractional calculus (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183122500656

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