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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

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 
@article{KJM_2021_45_3_a8,
     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},
     journal = {Kragujevac Journal of Mathematics},
     pages = {439 },
     year = {2021},
     volume = {45},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a8/}
}
TY  - JOUR
AU  - Dinesh Kumar
AU  - Frédéric Ayant
TI  - Application of Jacobi polynomial and multivariable Aleph-function in heat conduction in non-homogeneous moving rectangular parallelepiped
JO  - Kragujevac Journal of Mathematics
PY  - 2021
SP  - 439 
VL  - 45
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a8/
LA  - en
ID  - KJM_2021_45_3_a8
ER  - 
%0 Journal Article
%A Dinesh Kumar
%A Frédéric Ayant
%T Application of Jacobi polynomial and multivariable Aleph-function in heat conduction in non-homogeneous moving rectangular parallelepiped
%J Kragujevac Journal of Mathematics
%D 2021
%P 439 
%V 45
%N 3
%U http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a8/
%G en
%F KJM_2021_45_3_a8
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/