中文摘要：

A kind of calculating method for high order differentials expanded by the wavelet scal-ing functions and the integral of their product used in Galerkin FEM is proposed,so that we can usethe wavelet Galerkin FEM to solve boundary-value differential equations with orders higher than two.To combine this method with the Generalized Gaussian integral method in wavelet theory,we can findthat this method has many merits in solving mechanical problems,such as the bending of plates andthose with variable thickness.The numerical results show that this method is accurate.

英文摘要：

A kind of calculating method for high order differential expandedby the wavelet scal- ing functions and the of their product used inGalerkin FEM is proposed, so that we can use the wavelet Galerkin FEMto solve boundary-value differential equations with orders higherthan two. To combine this method with the Generalized Gaussianintegral method in wavelt theory, we can find That this method hasmany merits in solving mechanical problems, such as the bending ofplates and Those with variable thickness. The numerical results showthat this method is accurate.