Computing and Information MIXED SPECTRAL METHOD FOR NAVIER-STOKES EQUATIONS IN AN INFINITE STRIP BY USING GENERALIZED LAGUERRE FUNCTIONS

Abstract

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. Key words. Mixed generalized Laguerre-Legendre spectral method, stream function form of Navier-Stokes equations in an infinite strip. 1