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Volume 20, Issue 4
Laguerre Pseudospectral Method for Nonlinear Partial Differential Equations

Cheng-Long Xu & Ben-Yu Guo

J. Comp. Math., 20 (2002), pp. 413-428.

Published online: 2002-08

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  • Abstract

The Laguerre Gauss-Radau interpolation is investigated. Some approximation results are obtained. As an example, the Laguerre pseudospectral scheme is constructed for the BBM equation. The stability and the convergence of proposed scheme are proved. The numerical results show the high accuracy of this approach.

  • Keywords

Laguerre pseudospectral method, Nonlinear differential equations.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-413, author = {Xu , Cheng-Long and Guo , Ben-Yu}, title = {Laguerre Pseudospectral Method for Nonlinear Partial Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {4}, pages = {413--428}, abstract = {

The Laguerre Gauss-Radau interpolation is investigated. Some approximation results are obtained. As an example, the Laguerre pseudospectral scheme is constructed for the BBM equation. The stability and the convergence of proposed scheme are proved. The numerical results show the high accuracy of this approach.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8928.html} }
TY - JOUR T1 - Laguerre Pseudospectral Method for Nonlinear Partial Differential Equations AU - Xu , Cheng-Long AU - Guo , Ben-Yu JO - Journal of Computational Mathematics VL - 4 SP - 413 EP - 428 PY - 2002 DA - 2002/08 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8928.html KW - Laguerre pseudospectral method, Nonlinear differential equations. AB -

The Laguerre Gauss-Radau interpolation is investigated. Some approximation results are obtained. As an example, the Laguerre pseudospectral scheme is constructed for the BBM equation. The stability and the convergence of proposed scheme are proved. The numerical results show the high accuracy of this approach.

Xu , Cheng-Long and Guo , Ben-Yu. (2002). Laguerre Pseudospectral Method for Nonlinear Partial Differential Equations. Journal of Computational Mathematics. 20 (4). 413-428. doi:
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