[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2013.50.3.963

ON THE GALERKIN-WAVELET METHOD FOR HIGHER ORDER DIFFERENTIAL EQUATIONS

Fukuda, Naohiro (Institute of Mathematics University of Tsukuba)
Kinoshita, Tamotu (Institute of Mathematics University of Tsukuba)
Kubo, Takayuki (Institute of Mathematics University of Tsukuba)

Publication Information

Bulletin of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 963-982 More about this Journal

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;

Citations & Related Records

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