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Thermal Science - Online First

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Analytical solutions of biharmonic equation by the Fourier-Yang integral transform

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.
PAPER REVISED: 2018-06-25
PAPER ACCEPTED: 2018-08-25
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