Fourierization of the Legendre¿Galerkin method and a new space¿time spectral method

• Autores: Jie Shen, Li-Lian Wang
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 5-7, 2007, págs. 710-720
• Idioma: inglés
• DOI: 10.1016/j.apnum.2006.07.012
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• Resumen

  • 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.