| 广义Burgers方程的Legendre-Galerkin Chebyshev-配置方法 |
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| 引用本文： | 李文新,马和平. 广义Burgers方程的Legendre-Galerkin Chebyshev-配置方法[J]. 应用数学与计算数学学报, 2004, 18(2): 57-67 |
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| 作者姓名： | 李文新 马和平 |
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| 作者单位： | 上海大学数学系,上海,200436 |
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| 基金项目： | Department of Mathematics,Shanghai University,Shanghai 200436,P.R.China. |
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| 摘 要： | 本文对广义Burgers方程的Neumann和Robin型边值问题构造了LegendreGalerkinChebyshev-配置方法.Legendre-GalerkinChebyshev-配置方法整体上按LegendreGalerkin方法形成,但对非线性项采用在Chebyshev-Gauss-Lobatto点上的配置法处理.文中给出了方法的稳定性和收敛性分析,获得了按H1-模的最佳误差估计.数值实验证实了方法的有效性.
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| 关 键 词： | legendre-galerkin chebyshev-配置方法 chebyshev-gauss-lobatto点 |
| 修稿时间： | 2003-08-25 |
Legendre-Galerkin Chebyshev-Collocation Method for the Generalized Burgers Equation |
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| Li Wenxin Ma Heping. Legendre-Galerkin Chebyshev-Collocation Method for the Generalized Burgers Equation[J]. Communication on Applied Mathematics and Computation, 2004, 18(2): 57-67 |
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| Authors: | Li Wenxin Ma Heping |
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| Affiliation: | Li Wenxin Ma Heping Department of Mathematics,Shanghai University,Shanghai,200436 |
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| Abstract: | In this paper, we analyze the Legendre-Galerkin Chebyshev-Collocation method for the generalized Burgers equation with the Neumann and Robin boundary conditions. The Legendre-Galerkin Chebyshev-Collocation method is basically formulated in the Legendre Galerkin form but with the nonlinear term being treated by the Chebyshev-collocation method. We prove the stability and convergence of the method and obtain the optimal error estimate in H1-norm. Finally, some numerical results are reported to confirm the theoretical analysis. |
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| Keywords: | legendre-galerkin chebyshev-collocation method chebyshev-gauss-lobatto point |
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