The Fourier spectral method for determining a heat capacity coefficient in a parabolic equation

Durdiev D, Durdiev D (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Turkish Journal of Mathematics Scientific and Technical Research Council of Turkey

Book Volume: 46

Pages Range: 3223-3233

Journal Issue: 8

DOI: 10.55730/1300-0098.3329

Abstract

In this paper, the comparison of finite difference and Fourier spectral numerical methods for an inverse problem of simultaneously determining an unknown coefficient in a parabolic equation with the usual initial and boundary conditions is proposed. We represent the detailed description of the methods and their algorithms. The research work conducted in this paper shows that the Fourier spectral method is highly accurate.

Authors with CRIS profile

Dilshod Durdiev Lehrstuhl für Werkstoffsimulation

Involved external institutions

Academy of Sciences Republic of Uzbekistan UZ Uzbekistan (UZ)

How to cite

APA:

Durdiev, D., & Durdiev, D. (2022). The Fourier spectral method for determining a heat capacity coefficient in a parabolic equation. Turkish Journal of Mathematics, 46(8), 3223-3233. https://dx.doi.org/10.55730/1300-0098.3329

MLA:

Durdiev, Durdimurod, and Dilshod Durdiev. "The Fourier spectral method for determining a heat capacity coefficient in a parabolic equation." Turkish Journal of Mathematics 46.8 (2022): 3223-3233.

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