Analytic transient solutions of a cylindrical heat equation
Filomat, Tome 35 (2021) no. 8, p. 2617

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The principles of superposition and separation of variables are used here in order to investigate the analytical solutions of a certain transient heat conduction equation. The structure of the transient-temperature appropriations and the heat-transfer distributions are summed up for a straight mix of the results by means of the Fourier-Bessel arrangement of the exponential type for the investigated partial differential equation
DOI : 10.2298/FIL2108617K
Classification : 80A19, 58J35
Keywords: Analytical temperature distribution, Bessel function, Hear conduction, Fourier-Bessel series, Initial and boundary conditions, Sturm-Liouville problem, Transcendental equations
K Y Kung; Man-Feng Gong; H M Srivastava; Shy-Der Lin. Analytic transient solutions of a cylindrical heat equation. Filomat, Tome 35 (2021) no. 8, p. 2617 . doi: 10.2298/FIL2108617K
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     title = {Analytic transient solutions of a cylindrical heat equation},
     journal = {Filomat},
     pages = {2617 },
     year = {2021},
     volume = {35},
     number = {8},
     doi = {10.2298/FIL2108617K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108617K/}
}
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