Abstract: A Fourier-Chebyshev pseudospeotral scheme with mixed generalized Boohner fltering technique is proposed for e two-dimensional unsteady vorticity equation.The generalized stability and convergence are proved strictly.The numerical results are presented.The theoretical analysis in this paper provides a framework for error estimations of such mixed approximation.

Key words: mixed filtering technique, Fourier-Chebyshev pseudospectral approximation, Two-dimensional vorticity equation