四川师范大学学报（自然科学版）2011，Vol.34Issue(3)：305-308,4.DOI:10.3969/j.issn.1001-8395.2011.03.005
正则长波方程的一个新的差分逼近
A New Difference Approximation of Regularized Long Wave Equations
摘要
Abstract
In this paper, the numerical solution for an initial-boundary value problem of regularized long wave equations is considered.A nonlinear implicit finite difference of three levels is proposed.This scheme simulates the conservation properties of the problem well.And the prior estimate of the solution is obtained.It is proved that the finite difference scheme is stable and convergent with order 2 both in space and time.Numerical experiments show that our method is efficient.关键词
正则长波方程/差分格式/守恒/收敛性/稳定性Key words
regularized long wave equation/ finite difference scheme/ conservation/ convergence/ stability分类
数理科学引用本文复制引用
郑茂波,胡劲松,胡兵..正则长波方程的一个新的差分逼近[J].四川师范大学学报（自然科学版）,2011,34(3):305-308,4.基金项目
国家自然科学基金(40701014)资助项目 （40701014）
西华大学重点学科-应用数学基金(XZD0910-09-1)对本文给予了资助 （XZD0910-09-1）
