四川大学学报（自然科学版）2011，Vol.48Issue(3)：534-538,5.DOI:10.3969/j.issn.0490-6756.2011.03.010
广义正则长波方程的一个新的守恒差分格式
A new conservation finite difference scheme for generalized regularized long wave equation
摘要
Abstract
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 also obtained. It is proved that the finite difference scheme is convergent with order 2 and stable without condition. The numerical examples show this scheme is feasible and its accuracy 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Key words
generalized regularized long wave equation/ finite difference scheme/ conservation/ convergence/ stability分类
数理科学引用本文复制引用
徐友才,胡劲松,胡朝浪..广义正则长波方程的一个新的守恒差分格式[J].四川大学学报（自然科学版）,2011,48(3):534-538,5.基金项目
国家自然科学基金(40701014) （40701014）
四川大学青年教师科研启动基金(2009SCU11113) （2009SCU11113）
西华大学重点学科--应用数学基金(XZD0910-09-1) （XZD0910-09-1）
