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 - <p style="text-align: justify;">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.</p>