Kuramoto-Sivashinsky方程的B样条Galerkin方法  

B-spline Galerkin Method for Kuramoto-Sivashinsky Equation

作　　者：赵琳琳[1] 谢树森[2] 郭翠平[1] 

机构地区：[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

出　　处：《数学的实践与认识》2004年第5期126-132,共7页Mathematics in Practice and Theory

基　　金：山东省青年自然科学基金 ( Q98A0 71 1 5 )资助

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 .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.

关 键 词：KURAMOTO-SIVASHINSKY方程 B样条 GALERKIN法 误差估计 稳定性 

分 类 号：O411.1[理学—理论物理]