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NONLINEAR GALERKIN ALGORITHMS AND ERROR ESTIMETES FOR NAVIER-STOKES EQUATIONS
非定常 N-S 方程的非线性 Galerkin 算法及其误差估计

Keywords: Navier-Stokes equations,nonlinear Galerkin algorithm,error estimate
N-S方程
,非线性Galerkin算法,误差估计

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Abstract:

In this paper we provide some numerical schemes for the 2-D nonstationary Navier-Stokes equations and analyze the error estimates of numerical solutions corresponding to these schemes. Here the spatial discretization is performed by using the nonlinear Galerkin spectral method and time discretization is done by the Euler scheme, Crank-Nicolson scheme and two-step scheme. Finally, some numerical test is done.

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