| SPECTRAL METHODS FOR THE GL-BBM EQUATIONS |
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| 作者姓名： | 郭柏灵 蒋慕蓉 |
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| 作者单位： | Institute of Applied Physics and Computational Mathematics，Department of Mathmatics，Yunnan University，Kunming，650091/ Graduate School of China Academy of Engineering and Physics P.O.Box 8009，Beijing 100088，PRC，P.O.Box. 2101，Beijing 100088，PRC |
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| 摘 要： | 1 ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ,ｗｅｃｏｎｓｉｄｅｒｔｈｅｆｏｌｌｏｗｉｎｇｐｅｒｉｏｄｉｃｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｆｏｒｔｈｅｓｙｓｔｅｍｏｆＧｉｎｚｂｕｒｇ ＬａｎｄａｕｅｑｕａｔｉｏｎｓｃｏｕｐｌｅｄｗｉｔｈＢＢＭｅｑｕａｔｉｏｎｓ:ｘ∈Ｒεｔ+ με-(α1+ｉα2 )εｘｘ+ (β1+ｉβ2 ) ｜ε｜2 ε-ｉδｎε=ｇ1(ｘ) ,(1 .1 )ｎｔ+ ｆ(ｎ) ｘ+λｎ-αｎｘｘ-ｎｘｘｔ+ ｜ε｜2 ｘ =ｇ2 (ｘ) ,(1 .2 )ε(ｘ+ 2π ,ｔ) =ε(ｘ ,ｔ) ,ｎ(ｘ + 2π ,ｔ) =ｎ(ｘ ,ｔ) ,(1 .3)ε(ｘ ,0 )…
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SPECTRAL METHODS FOR THE GL-BBM EQUATIONS |
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| Guo Boling Jiang Murong Institute of Applied Physics and Computational Mathematics,P.O.Box ,Beijing ,PRC.SPECTRAL METHODS FOR THE GL-BBM EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities English Series,2002,11(2):121-128. |
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| Authors: | Guo Boling Jiang Murong Institute of Applied Physics and Computational Mathematics POBox Beijing PRC |
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| Institution: | 1. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, PRC
2. Department of Mathmatics, Yunnan University, Kunming 650091/Graduate School of China Academy of Engineering and Physics, P.O. Box. 2101, Beijing 100088, PRC |
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| Abstract: | In this paper, the semi-discrete and fully discrete Fourier spectral schemes for the Ginzburg-Landau coupled with BBM equations with periodic initial value problem are proposed, and the convergence and stabilities for the schemes are proved. |
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| Keywords: | spectral method Ginzburg-Landau-BBM equations |
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