Application of Jacobi Polynomial and Multivariable Aleph- Function in Heat Conduction in Non-Homogeneous Moving Rectangular Parallelepiped-Reference-Cited by-同舟云学术

Application of Jacobi Polynomial and Multivariable Aleph- Function in Heat Conduction in Non-Homogeneous Moving Rectangular Parallelepiped

Published:2021-05 Issue:03 Volume:45 Page:439-448
ISSN:2406-3045
Container-title:Kragujevac Journal of Mathematics
language:en
Short-container-title:KgJMat

Author:

KUMAR DINESH¹,AYANT FRÉDÉRIC²

Affiliation:

1. Agriculture University of Jodhpur, India

2. Collége Jean L’herminier, France

Abstract

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.

Publisher

University Library in Kragujevac

Subject

General Mathematics

Reference16 articles.

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