| 广义Benjamin-Bona-Mahony方程Fourier谱方法的大时间误差估计 |
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| 引用本文： | 尚亚东,郭柏灵.广义Benjamin-Bona-Mahony方程Fourier谱方法的大时间误差估计[J].高校应用数学学报(英文版),2003,18(1):17-29. |
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| 作者姓名： | 尚亚东 郭柏灵 |
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| 作者单位： | Shang Yadong Guo BolingDept. of Math.，Guangzhou Univ.，Guangzhou 510405，China. Institute of Applied Physics and Computational Mathematics，P.O.Box 8009，Beijing 100088，China. |
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| 摘 要： | § 1 ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅＢｅｎｊａｍｉｎ Ｂｏｎａ Ｍａｈｏｎｙｅｑｕａｔｉｏｎｕｔ+ｕｘ+ｕｕｘ -ｕｘｘ-ｕｘｘｔ =0 ( 1 .1 )ｉｎｃｏｒｐｏｒａｔｅｓｎｏｎｌｉｎｅａｒｄｉｓｐｅｒｓｉｖｅａｎｄｄｉｓｓｉｐａｔｉｖｅｅｆｆｅｃｔｓ ,ａｎｄｈａｓｂｅｅｎｐｒｏｐｏｓｅｄａｓａｍｏｄｅｌｆｏｒｂｏｔｈｔｈｅｂｏｒｅｐｒｏｐａｇａｔｉｏｎａｎｄｔｈｅｗａｔｅｒｗａｖｅｓ1,2 ] .Ｔｈｅｅｘｉｓｔｅｎｃｅａｎｄｕｎｉｑｕｅｎｅｓｓｏｆｓｏｌｕｔｉｏｎｓｆｏｒｔｈｉｓｅｑｕａｔｉｏｎｈａｖｅｂｅｅ…
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| 收稿时间： | 25 March 2002 |
The large time error estimates of Fourier spectral method for generalized Benjamin-Bona-Mahony equations |
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| Shang?Yadong,Guo?Boling.The large time error estimates of Fourier spectral method for generalized Benjamin-Bona-Mahony equations[J].Applied Mathematics A Journal of Chinese Universities,2003,18(1):17-29. |
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| Authors: | Shang Yadong Guo Boling |
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| Institution: | (1) Dept. of Math., Zhejiang Univ., 310027 Hangzhou, China |
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| Abstract: | 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. |
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| Keywords: | Benjamin-Bona-Mahony equation Fourier spectral method error estimate |
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