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The biharmonic equation are frequently encountered in CFD. In this investigation, the biharmonic equation in the semi-infinite domains is addressed using a new Fourier-like integral transform proposed in [1]. The properties of the new Fourier-like integral transform are expanded in this article. Meanwhile, the analytical solutions for the biharmonic equation in the semi-infinite domains are found. This demonstrates the new Fourier-like integral transform is an efficient and accurate method to clarify mathematical physics problems described by PDE.
PAPER REVISED: 2018-06-25
PAPER ACCEPTED: 2018-08-25
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THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 3, PAGES [S765 - S771]
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© 2023 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