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Volume 22, Issue 5
The Prediction-Correction Legendre Collocation Method for Nonlinear Evolutionary Problems

Liping He & Shunkai Sun

J. Comp. Math., 22 (2004), pp. 753-768.

Published online: 2004-10

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  • 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.

  • Keywords

Burgers equation, Prediction-correction operator, Legendre collocation approximation, Convergence, Numerical results.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-753, author = {He , Liping and Sun , Shunkai}, title = {The Prediction-Correction Legendre Collocation Method for Nonlinear Evolutionary Problems}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10301.html} }
TY - JOUR T1 - The Prediction-Correction Legendre Collocation Method for Nonlinear Evolutionary Problems AU - He , Liping AU - Sun , Shunkai JO - Journal of Computational Mathematics VL - 5 SP - 753 EP - 768 PY - 2004 DA - 2004/10 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10301.html KW - Burgers equation, Prediction-correction operator, Legendre collocation approximation, Convergence, Numerical results. AB -

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.

He , Liping and Sun , Shunkai. (2004). The Prediction-Correction Legendre Collocation Method for Nonlinear Evolutionary Problems. Journal of Computational Mathematics. 22 (5). 753-768. doi:
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