THERMAL SCIENCE

International Scientific Journal

Shanjie SuORCID

,

Feng GaoORCID

,

Zekai Wang

,

Menglin Du

APPLICATIONS OF THE FOURIER-LIKE INTEGRAL TRANSFORM IN THE WAVE AND HEAT-TRANSFER PROBLEMS

ABSTRACT
In this article, some new properties of a novel integral transform termed the Fourier-Yang are explored. The Fourier-Yang integral transforms of several basic functions are given firstly. With the aid of the new integral transform, a 1-D wave equation and 2-D heat transfer equation are solved. The results show that the Fourier-Yang integral transform is efficient in solving PDE.
KEYWORDS
Fourier-like integral transform, analytical solution, heat-transfer equation, wave equation
PAPER SUBMITTED: 2018-05-20
PAPER REVISED: 2018-06-28
PAPER ACCEPTED: 2018-08-11
PUBLISHED ONLINE: 2019-03-31
DOI REFERENCE: https://doi.org/10.2298/TSCI180520084S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 3, PAGES [703 - 709]
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Applications of the Fourier-like integral transform in the wave and heat-transfer problems

© 2026 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