Modified Legendre rational spectral method for the Burgers equation on the half-line

Author: Lu Shujuan   Li Mingshu  

Publisher: Taylor & Francis Ltd

ISSN: 0020-7160

Source: International Journal of Computer Mathematics, Vol.85, Iss.6, 2008-06, pp. : 865-875

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Abstract

In this paper, a modified Legendre rational method is discussed for the Burgers equation on the half infinite interval. A fully discrete spectral approximation scheme which possesses the essential conservation properties is established. The stability and the convergence of the discrete scheme are proved by the prior estimate and the error estimate, respectively.