Abstract： In this paper.-we propose a new numerical method which is a least squares approximation based onpseudospectral method for the biharmonic equation with nonhomogeneous boundary conditions in a twodimensional domain. The existence and the uniqueness of the solution of the least squares approximationare proved. Error estimates for this method are given,which shows that our method also has spectralaccuracy.
叶兴德 江金 生. 双调和方程边值问题的一种新的伪谱逼近[J]. 浙江大学学报（理学版）, 1997, 24(1): 13-21.
Ye XingdeJiang Jinsheng. A New Pseudospectral Approximationfor. the Biharmonic Boundary Value Problem. Journal of ZheJIang University(Science Edition), 1997, 24(1): 13-21.