• Fukuda, Naohiro ;
  • Kinoshita, Tamotu ;
  • Kubo, Takayuki
  • Received : 2012.04.19
  • Published : 2013.05.31


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.


Galerkin-wavelet method;Riesz basis;higher order differential equation


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