西华大学学报（自然科学版）Issue(1)：76-81,6.DOI:10.3969/j.issn.1673-159X.2015.01.0
求解广义BBM-Burgers方程的一个两层非线性守恒差分格式
Two Level Nonlinear Conservative Difference Scheme for Solving Generalized BBM-Burgers Equation
摘要
Abstract
In this paper, a two level nonlinear Crank-Nicolson difference scheme is proposed. The scheme provides a numerical solution to the initial boundary value problem of general BBM-Burgers equation. A conservative variable of the equation is simulated well with the scheme. In the simulation, the prior estimate and uniqueness of the solution are also obtained. In addition, the second or-der convergence and unconditional stability are proved by using energy analysis.关键词
广义BBM-Burgers方程/差分格式/守恒/收敛性/稳定性Key words
generalized BBM-Burgers equation/difference scheme/conservation/convergence/stability分类
数理科学引用本文复制引用
胡劲松,王婷婷,陈涛..求解广义BBM-Burgers方程的一个两层非线性守恒差分格式[J].西华大学学报（自然科学版）,2015,(1):76-81,6.基金项目
四川省教育厅青年基金(11ZB009) （11ZB009）
