Geodesic
Application of Jacobi polynomial and multivariable Aleph-function in heat conduction in non-homogeneous moving rectangular parallelepiped
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 439 .

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The present paper deals with an application of Jacobi polynomial and multivariable Aleph-function to solve the differential equation of heat conduction in non-homogeneous moving rectangular parallelepiped. The temperature distribution in the parallelepiped, moving in a direction of the length ($x$-axis) between the limits $x=-1$ and $x=1$ has been considered. The conductivity and the velocity have been assumed to be variables. We shall see two particular cases and the cases concerning Aleph-function of two variables and the $I$-function of two variables.
Classification : 33C99, 33C60 44A20
Keywords: Jacobi polynomial, heat conduction, Aleph-function of several variables, aleph-function of two variables, $I$-function of two variables 
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     author = {Dinesh Kumar and Fr\'ed\'eric Ayant},
     title = {Application of {Jacobi} polynomial and multivariable {Aleph-function} in heat conduction in non-homogeneous moving rectangular parallelepiped},
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Dinesh Kumar; Frédéric Ayant. Application of Jacobi polynomial and multivariable Aleph-function in heat conduction in non-homogeneous moving rectangular parallelepiped. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 439 . http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a8/