| Kuramoto-Sivashinsky方程的B样条Galerkin方法 |
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| 引用本文： | 赵琳琳,谢树森,郭翠平.Kuramoto-Sivashinsky方程的B样条Galerkin方法[J].数学的实践与认识,2004,34(5):126-132. |
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| 作者姓名： | 赵琳琳 谢树森 郭翠平 |
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| 作者单位： | 1. 中国地质大学(北京)信息工程学院,北京,100083
2. 中国海洋大学数学系,山东,青岛,266071 |
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| 基金项目： | 山东省青年自然科学基金 ( Q98A0 71 1 5 )资助 |
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| 摘 要： | 采用显隐结合的方法对微分算子进行时间离散 ,提出了解 Kuramoto-Sivashinsky方程的全离散 B样条 Galerkin方法 ,由此得到了有限元解的最优阶收敛性及稳定性估计 .最后的数值算例以图形的形式体现了此算法的精确度
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| 关 键 词： | Kuramoto-Sivashinsky方程 B样条 Galerkin法 误差估计 稳定性 |
| 修稿时间： | 2004年2月7日 |
B-spline Galerkin Method for Kuramoto-Sivashinsky Equation |
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| ZHAO Lin-lin,XIE Shu-sen,GUO Cui-ping.B-spline Galerkin Method for Kuramoto-Sivashinsky Equation[J].Mathematics in Practice and Theory,2004,34(5):126-132. |
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| Authors: | ZHAO Lin-lin XIE Shu-sen GUO Cui-ping |
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| Institution: | ZHAO Lin-lin1,XIE Shu-sen2,GUO Cui-ping1 |
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| Abstract: | Firstly in this paper, a B spline Galerkin method involving a combination of implicit and explicit approximation in time is devised for numerically solving Kuramoto-Sivashinsky equations. This approach leads to the linear systems with the same matrix at all time steps and thus the computation is simple and easy to implement. Then the optimal order error estimates and the arithmetic stability are obtained. Finally, a numerical example is given to analyse our method. |
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| Keywords: | Kuramoto-Sivashinsky equation B-spline Galerkin method error estimates stability |
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