Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped

In the present article, we give analytical solutions for temperature distribution in a rectangular parallelepiped with the help of a multivariable <i>I</i>-function. The results established in this paper are of a general character from which several known and new results can be deduced....

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Main Authors: Dinesh Kumar, Frédéric Yves Ayant, Clemente Cesarano
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/11/9/488
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author Dinesh Kumar
Frédéric Yves Ayant
Clemente Cesarano
author_facet Dinesh Kumar
Frédéric Yves Ayant
Clemente Cesarano
author_sort Dinesh Kumar
collection DOAJ
description In the present article, we give analytical solutions for temperature distribution in a rectangular parallelepiped with the help of a multivariable <i>I</i>-function. The results established in this paper are of a general character from which several known and new results can be deduced. We also give the special and particular cases of our main findings.
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spelling doaj.art-fb954e74a5fe44f3b574993dc972903e2023-11-23T15:02:57ZengMDPI AGAxioms2075-16802022-09-0111948810.3390/axioms11090488Analytical Solutions of Temperature Distribution in a Rectangular ParallelepipedDinesh Kumar0Frédéric Yves Ayant1Clemente Cesarano2Department of Applied Sciences, College of Agriculture-Jodhpur, Agriculture University Jodhpur, Jodhpur 342304, IndiaCollége Jean L’herminier, Allée des Nymphéas, 83500 La Seyne-sur-Mer, FranceSection of Mathematics, Luciano Modica, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 00186 Roma, ItalyIn the present article, we give analytical solutions for temperature distribution in a rectangular parallelepiped with the help of a multivariable <i>I</i>-function. The results established in this paper are of a general character from which several known and new results can be deduced. We also give the special and particular cases of our main findings.https://www.mdpi.com/2075-1680/11/9/488multivariable <i>I</i>-functionmultivariable <i>H</i>-functiontemperature distribution
spellingShingle Dinesh Kumar
Frédéric Yves Ayant
Clemente Cesarano
Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped
Axioms
multivariable <i>I</i>-function
multivariable <i>H</i>-function
temperature distribution
title Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped
title_full Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped
title_fullStr Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped
title_full_unstemmed Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped
title_short Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped
title_sort analytical solutions of temperature distribution in a rectangular parallelepiped
topic multivariable <i>I</i>-function
multivariable <i>H</i>-function
temperature distribution
url https://www.mdpi.com/2075-1680/11/9/488
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