| 广义对称正则长波方程的勒让德和切贝雪夫拟谱方法 |
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| 引用本文： | 尚亚东,郭柏灵.广义对称正则长波方程的勒让德和切贝雪夫拟谱方法[J].应用数学学报,2003,26(4):590-604. |
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| 作者姓名： | 尚亚东 郭柏灵 |
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| 作者单位： | 1. 广州大学数学系,广州,510405
2. 北京应用物理与计算数学研究所,北京,100088 |
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| 基金项目： | 国家自然科学基金(10271034号) |
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| 摘 要： | 本文考虑了具齐次边界条件的广义对称正则长波方程的Legendre和Chebyshev拟谱方法，构造了半离散和全离散的Legendre和Chebyshev拟谱格式，从理论上得到了这些格式对应的最优误差估计。
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| 关 键 词： | 广义对称正则长波方程 Legendre拟谱方法 Chebyshev拟谱方法 误差估计 孤立波解 |
LEGENDRY AND CHEBYSHEV PSEUDOSPECTRAL METHODS FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATIONS |
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| SHANG YADONG.LEGENDRY AND CHEBYSHEV PSEUDOSPECTRAL METHODS FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2003,26(4):590-604. |
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| Authors: | SHANG YADONG |
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| Abstract: | In this paper, Legendre and Chebyshev pseudospectral methods for the generalized regularized long wave equations with homogeneous boundary condition are considered. The semi-discrete and fully-discrete Legendre and Chebyshev pseudospectral schemes are constructed, and the corresponding optimum error estimates of these schemes are obtained in theory. |
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| Keywords: | Symmetric regularized long wave equation pseudospectral method homogeneous boundary condition error estimates |
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