THERMAL SCIENCE

International Scientific Journal

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Xiao-Jun Yang

,

Yu-Rong Fan

THE SERIES REPRESENTATIONS FOR THE J AND H FUNCTIONS APPLIED IN THE HEAT-DIFFUSION EQUATION

ABSTRACT
In this article the theory of the supertrigonometric and superhyperbolic functions associated with the J and H functions are proposed for the first time. The series representation for the heat-diffusion equations are also given by using the J and H functions. The results are efficient and accurate for the description for the solutions of the PDE in mathematical physics.
KEYWORDS
heat-diffusion equation, H function, superhyperbolic functions, J function, super trigonometric functions
PAPER SUBMITTED: 2021-05-13
PAPER REVISED: 2021-06-10
PAPER ACCEPTED: 2021-07-25
PUBLISHED ONLINE: 2021-12-24
DOI REFERENCE: https://doi.org/10.2298/TSCI2106631Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 6, PAGES [4631 - 4642]
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The series representations for the J and H functions applied in the heat-diffusion equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence