Laguerre Pseudospectral Method for Nonlinear Partial Differential Equations

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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.

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Laguerre pseudospectral method Nonlinear differential equations.
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Laguerre Pseudospectral Method for Nonlinear Partial Differential Equations. (2002). Journal of Computational Mathematics, 20(4), 413-428. https://global-sci.com/index.php/JCM/article/view/11502