| 半直线上BBM方程初边值问题的修正有理谱耦合方法 |
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| 引用本文： | 张中强,马和平.半直线上BBM方程初边值问题的修正有理谱耦合方法[J].应用数学与计算数学学报,2007,21(1):66-76. |
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| 作者姓名： | 张中强 马和平 |
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| 作者单位： | 上海大学理学院数学系,上海,200444 |
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| 摘 要： | 本文考虑使用修正的有理谱方法处理半直线上的BBM方程初边值问题.对非线性项使用Chebyshev有理插值显式处理,而线性项使用修正Legendre有理谱方法隐式处理.这种处理既可以节约运算又可以保持良好的稳定性.数值例子表明了算法的有效性
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| 关 键 词： | 半直线 有理谱方法 BBM方程 耦合方法 |
| 修稿时间： | 2006-04-14 |
A Combined Modified Rational Spectral Method for BBM Equation on Half Line |
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| Zhang Zhongqiang,Ma Heping.A Combined Modified Rational Spectral Method for BBM Equation on Half Line[J].Communication on Applied Mathematics and Computation,2007,21(1):66-76. |
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| Authors: | Zhang Zhongqiang Ma Heping |
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| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | In this paper,a BBM equation on half line with initial and boundary values is considered in spectral methods using modified Legendre rational functions. The nonlinear term is treated with Chebyshev-Gauss rational interpolation explicitly, and the linear terms are computed with Galerkin method implicitly.Such an approach is of economization and of stability,which is illustrated by the numerical results. |
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| Keywords: | BBM equation half line combined rational spectral methods |
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