Year: 2004
Author: Liping He, Shunkai Sun
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 753–768
Abstract
The initial-boundary value problem of Burgers equation is considered. A prediction-correction Legendre collocation scheme is presented, which is easy to be performed. Its numerical solution possesses the accuracy of second-order in time and higher order in space. Numerical results are reported, which show the high accuracy of this approach. The techniques used in this paper are also applicable to other nonlinear evolutionary problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10301
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 753–768
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Burgers equation Prediction-correction operator Legendre collocation approximation Convergence Numerical results.