广义正则长波方程的拟紧致守恒差分格式  

Pseudo-compact conservation difference scheme for generalized regularized long wave equation

作　　者：胡劲松[1] 王玉兰[1] 

机构地区：[1]西华大学数学与计算机学院,四川成都610039

出　　处：《东北师大学报（自然科学版）》2011年第3期39-43,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(40701014);西华大学重点学科项目(XZD0910-09-1)

摘　　要：对广义正则长波方程的初边值问题进行了数值研究,提出了两层隐式拟紧致差分格式,该格式很好地模拟了问题的守恒性质,得到了差分解的存在唯一性,并利用能量方法分析了该格式的二阶收敛性与无条件稳定性.数值结果表明,该格式的精度明显好于一般的二阶格式.The numerical solution for an initial-boundary value problem of generalized regularized long wave equation is considered.An implicit pseudo-compact finite difference of two levels is proposed.This scheme simulates the conservation properties of the problem well.And the existence and uniqueness of the solution are obtained.It is proved that the finite difference scheme is convergent with order 2 and stable without condition by the energy method.The numerical examples show that the accuracy of this scheme is better than usual difference scheme of two levels.

关 键 词：广义正则长波方程 差分格式 守恒 收敛性 稳定性 

分 类 号：O241.82[理学—计算数学]