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Prediction-correction legendre spectral scheme for incompressible fluid flow

He Li-pingMao De-kangGuo Ben-yu — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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.

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