ON THE GALERKIN-WAVELET METHOD FOR HIGHER ORDER DIFFERENTIAL EQUATIONS

Title & Authors
ON THE GALERKIN-WAVELET METHOD FOR HIGHER ORDER DIFFERENTIAL EQUATIONS
Fukuda, Naohiro; Kinoshita, Tamotu; Kubo, Takayuki;

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 $\small{V_j{\subset}L^2}$. 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;
Language
English
Cited by
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