Naohiro Fukuda, Tamotu Kinoshita, and Takayuki Kubo University of Tsukuba, University of Tsukuba, University of Tsukuba
Abstract : The Galerkin method has been developed mainly for 2nd order differential equations. To get numerical solutions, there are some choices of Riesz bases for the approximation subspace $V_j \subset L^2$. In this paper we shall propose a uniform approach to find suitable Riesz bases for higher order differential equations. Especially for the beam equation ($4$-th order equation), we also report numerical results.
Keywords : Galerkin-wavelet method, Riesz basis, higher order differential equation
