# ON THE GALERKIN-WAVELET METHOD FOR HIGHER ORDER DIFFERENTIAL EQUATIONS

• Fukuda, Naohiro ;
• Kinoshita, Tamotu ;
• Kubo, Takayuki
• Published : 2013.05.31
• 48 3

#### 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

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