## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2018-05-10

PAPER REVISED: 2018-06-25

PAPER ACCEPTED: 2018-08-25

PUBLISHED ONLINE: 2019-03-31

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 3**, PAGES [S765 - S771]

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