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Volume 9, Issue 4
Mixed Spectral Method for Navier-Stokes Equations in an Infinite Strip by Using Generalized Laguerre Functions

Yujian Jiao & Benyu Guo

Int. J. Numer. Anal. Mod., 9 (2012), pp. 982-998.

Published online: 2012-09

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  • Abstract

In this paper, we propose a mixed spectral method for the Navier-Stokes equations in an infinite strip by using generalized Laguerre functions. We establish some results on mixed generalized Laguerre-Legendre approximation, which play important roles in spectral method for fourth order differential equations. A mixed spectral scheme is provided for stream function form of the Navier-Stokes equations. Its stability and convergence are proved. Numeric results demonstrate the efficiency of suggested algorithm.

  • Keywords

Mixed generalized Laguerre-Legendre spectral method, stream function form of Navier-Stokes equations in an infinite strip.

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-9-982, author = {Jiao , Yujian and Guo , Benyu}, title = {Mixed Spectral Method for Navier-Stokes Equations in an Infinite Strip by Using Generalized Laguerre Functions}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {4}, pages = {982--998}, abstract = {

In this paper, we propose a mixed spectral method for the Navier-Stokes equations in an infinite strip by using generalized Laguerre functions. We establish some results on mixed generalized Laguerre-Legendre approximation, which play important roles in spectral method for fourth order differential equations. A mixed spectral scheme is provided for stream function form of the Navier-Stokes equations. Its stability and convergence are proved. Numeric results demonstrate the efficiency of suggested algorithm.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/669.html} }
TY - JOUR T1 - Mixed Spectral Method for Navier-Stokes Equations in an Infinite Strip by Using Generalized Laguerre Functions AU - Jiao , Yujian AU - Guo , Benyu JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 982 EP - 998 PY - 2012 DA - 2012/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/669.html KW - Mixed generalized Laguerre-Legendre spectral method, stream function form of Navier-Stokes equations in an infinite strip. AB -

In this paper, we propose a mixed spectral method for the Navier-Stokes equations in an infinite strip by using generalized Laguerre functions. We establish some results on mixed generalized Laguerre-Legendre approximation, which play important roles in spectral method for fourth order differential equations. A mixed spectral scheme is provided for stream function form of the Navier-Stokes equations. Its stability and convergence are proved. Numeric results demonstrate the efficiency of suggested algorithm.

Jiao , Yujian and Guo , Benyu. (2012). Mixed Spectral Method for Navier-Stokes Equations in an Infinite Strip by Using Generalized Laguerre Functions. International Journal of Numerical Analysis and Modeling. 9 (4). 982-998. doi:
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