| 一类广义KdV方程组的谱和拟谱方法 |
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| 引用本文： | 房少梅.一类广义KdV方程组的谱和拟谱方法[J].计算数学,2002,24(3):353-362. |
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| 作者姓名： | 房少梅 |
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| 作者单位： | 广东韶关学院数学系,韶关,512005;中国工程物理研究院研究生部,北京,100088 |
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| 摘 要： | 1.引 言在孤立子的研究中起着重要作用的典型方程-KdV方程已有不少作者1-5]在数学分析上做了许多深入的研究,文6]讨论了如下一类高阶广义KdV方程组
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| 关 键 词： | 广义KdV方程 半离散 全离散 谱和拟谱 周期初值问题 |
| 修稿时间： | 2001年8月4日 |
FOURIER SPECTRAL AND PSEUDO-SPECTRAL METHODS FOR A GENERALIZED KdV EQUATIONS |
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| Fang Shaomei.FOURIER SPECTRAL AND PSEUDO-SPECTRAL METHODS FOR A GENERALIZED KdV EQUATIONS[J].Mathematica Numerica Sinica,2002,24(3):353-362. |
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| Authors: | Fang Shaomei |
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| Institution: | Fang Shaomei(Department of Mathematics, Shaoguan University, Shaoguan, 512005; Graduate School, China Academy of Engineering Physics, Beijing, 100088) |
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| Abstract: | In this paper, the following generalized KdV equations with periodic initial value problem is considered:semi-discrete and fully discrete Fourier spectral and pseudo-spectral schemes are proposed, the convergence and stability for the schemes are proved. |
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| Keywords: | generalized KdV equations semi-discrete fully discrete spectral and pseudo-spectral |
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