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THE PREDICTION-CORRECTION LEGENDRE SPECTRAL SCHEME FOR NONLINEAR EVOLUTIONARY PROBLEMS

THE PREDICTION-CORRECTION LEGENDRE SPECTRAL SCHEME FOR NONLINEAR EVOLUTIONARY PROBLEMS*
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摘要 The initial-boundary value problem of Burgers equation is considered. A prediction-correction Legendre spectral scheme is proposed. It possesses the accuracy of second order in time and higher order in space. The numerical experiments show the high accuracy of this approach. The initial-boundary value problem of Burgers equation is considered. A prediction-correction Legendre spectral scheme is proposed. It possesses the accuracy of second order in time and higher order in space. The numerical experiments show the high accuracy of this approach.
基金 This work was supported in part by the Natural Science Foundation of China
关键词 Unsteady burgers equation prediction-correction LEGENDRE SPECTRAL scheme. Unsteady burgers equation, prediction-correction Legendre spectral scheme.
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参考文献1

  • 1Yvon Maday,Alfio Quarteroni. Legendre and Chebyshev spectral approximations of Burgers’ equation[J] 1981,Numerische Mathematik(3):321~332

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