Fourierization of the Legendre–Galerkin method and a new space–time spectral method
نویسندگان
چکیده
A set of Fourier-like basis functions is constructed for Legendre–Galerkin method for non-periodic boundary value problems and a new space–time spectral method is proposed. A complete error analysis is carried out for a linear parabolic equation and numerical results are presented for several typical linear and nonlinear equations. © 2006 IMACS. Published by Elsevier B.V. All rights reserved. MSC: 65N35; 65N22; 65F05; 35J05
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