广义对称正则长波方程的守恒型差分格式  

Conservation finite difference scheme for generalized symmetric regularized-long-wave equation

作　　者：李思霖[1] 胡兵[2] 徐友才[2] 郑茂波[2] 

机构地区：[1]攀枝花学院,攀枝花617000 [2]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2011年第6期1227-1233,共7页Journal of Sichuan University(Natural Science Edition)

基　　金：四川省基础研究项目(2010JY0058)

摘　　要：作者对广义对称正则长波方程的初边值问题提出了三层守恒型差分格式,该格式能很好模拟原问题的守恒性质,然后分析了该格式的二阶收敛性与稳定性.数值算例表明,本文的格式是可行的.In this paper, a finite difference method for an initial-boundary value problem of generalized symmetric regularized-long-wave equation was considered. A energy conservative finite difference of three levels was proposed. This scheme simulates the conservation properties of the problem well. It is proved that the finite difference scheme is convergent in second-order and stable. The numerical examples show this scheme is feasible.

关 键 词：广义对称正则长波方程 差分格式 守恒 收敛性 稳定性 

分 类 号：O241.82[理学—计算数学]