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THE LARGE TIME ERROR ESTIMATES OF FOURIER SPECTRAL METHOD FOR GENERALIZED BENJAMIN-BONA-MAHONY EQUATIONS

THE LARGE TIME ERROR ESTIMATES OF FOURIER SPECTRAL METHOD FOR GENERALIZED BENJAMIN-BONA-MAHONY EQUATIONS
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摘要 In this paper, a spectral method to analyze the generalized Benjamin Bona Mahony equations is used. The existence and uniqueness of global smooth solution of these equations are proved. The large time error estimation between the spectral approximate solution and the exact solution is obtained. In this paper, a spectral method to analyze the generalized Benjamin Bona Mahony equations is used. The existence and uniqueness of global smooth solution of these equations are proved. The large time error estimation between the spectral approximate solution and the exact solution is obtained.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第1期17-29,共13页 高校应用数学学报(英文版)(B辑)
关键词 Benjamin-Bona-Mahony equation Fourier spectral method error estimate. Benjamin-Bona-Mahony equation, Fourier spectral method, error estimate.
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