摘要
基于对正则长波方程的非线性项进行线性化处理的思想,对正则长波方程给出了一种新的线性化的有限差分格式,论证了差分解的存在惟一性,并分析了其格式的收敛性和稳定性,最后还以数值实验验证了格式的有效性.
Based on the linearization of the regularized long wave equations nonlinear, a new linear finite diffel:ence scheme is given, it proves the existence and uniqueness of the solution to the difference scheme, its convergence and stability is analyzed and finally the effectiveness is verified by the numerical experiments.
出处
《四川文理学院学报》
2012年第5期25-29,共5页
Sichuan University of Arts and Science Journal
关键词
正则长波方程
差分格式
存在惟一性
收敛性
数值实验
regularized long wave equation
finite difference scheme
existence and uniqueness
convergence
numerical'exper-iment.