Prediction-correction legendre spectral scheme for incompressible fluid flow
He Li-ping, Mao De-kang, Guo Ben-yu (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered. A prediction-correction Legendre spectral scheme is proposed, which is easy to be performed. The numerical solution possesses the accuracy of second-order in time and higher order in space. The numerical experiments show the high accuracy of this approach.