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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 partial differential equations
KEYWORDS
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
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