A Legendre spectral method in time for first-order hyperbolic equations

• Autores: Jian-guo Tang, He-ping Ma
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 1, 2007, págs. 1-11
• Idioma: inglés
• DOI: 10.1016/j.apnum.2005.11.009
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• Resumen

  • In this paper, we take first-order hyperbolic equations with periodic boundary conditions as a model to present a Legendre spectral method in time with Fourier approximation in spatial. Convergence analysis of the spectral scheme is given and the L2-optimal error estimate in spatial is achieved. Also, the method is valid for variable coefficient case. Numerical results show the efficiency of the method.