THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Lin Gao

,

Zhizhen Zhang

,

Yan Xing

ANALYTICAL SOLUTIONS OF BIHARMONIC EQUATION BY THE FOURIER-YANG INTEGRAL TRANSFORM

ABSTRACT
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.
KEYWORDS
biharmonic equation, Laplace equation, Fourier-Yang integral transform, fluid dynamics, partial differential equation
PAPER SUBMITTED: 2018-05-10
PAPER REVISED: 2018-06-25
PAPER ACCEPTED: 2018-08-25
PUBLISHED ONLINE: 2019-03-31
DOI REFERENCE: https://doi.org/10.2298/TSCI180510091G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 3, PAGES [S765 - S771]
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Analytical solutions of biharmonic equation by the Fourier-Yang integral transform

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