THERMAL SCIENCE

International Scientific Journal

Xiao-Jun Yang

NEW INTEGRAL TRANSFORMS FOR SOLVING A STEADY HEAT TRANSFER PROBLEM

ABSTRACT
The new Fourier-like integral transforms П(κ)= κ ∞∫−∞ П(t)e-ikt dt, Π(λ)= 1/λ∞∫−∞ П(t)e-iλt dt, П(γ) 1/γ ∞∫−∞ П(t)e-it/γ dt, П(ς)= ς∞∫−∞ П(t)e-it/ς dt are addressed for the first time. They are used to handle a steady heat transfer equation. The proposed methods are efficient and accurate.
KEYWORDS
heat transfer, Fourier-like integral transform, analytical solution
PAPER SUBMITTED: 2017-03-01
PAPER REVISED: 2017-05-01
PAPER ACCEPTED: 2017-05-02
PUBLISHED ONLINE: 2017-12-02
DOI REFERENCE: https://doi.org/10.2298/TSCI17S1079Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement, PAGES [79 - 87]
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New integral transforms for solving a steady heat transfer problem

© 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