## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Analytical solutions of biharmonic equation by the Fourier-Yang integral transform

**ABSTRACT**

The biharmonic equation (BE) are frequently encountered in computational fluid dynamics. In this investigation, the BE in the semi-infinite domains are addressed using a new Fourier-like integral transform proposed in [Therm. Sci.21 (2017, 79-87)]. The properties of the new Fourier-like integral transform are expanded in this article. Meanwhile, the analytical solutions for the BE 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 partial differential equations.

**KEYWORDS**

PAPER SUBMITTED: 2018-05-10

PAPER REVISED: 2018-06-25

PAPER ACCEPTED: 2018-08-25

PUBLISHED ONLINE: 2019-03-31

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