TY - JOUR
TI - Analytical solutions of biharmonic equation by the Fourier-Yang integral transform
AU - Gao Lin
AU - Zhang Zhizhen
AU - Xing Yan
JN - Thermal Science
PY - 2019
VL - 23
IS - 13
SP - 765
EP - 771
PT - Article
AB - 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.