四川大学学报（自然科学版）2011，Vol.48Issue(6)：1269-1275,7.DOI:10.3969/j.issn.0490-6756.2011.06.009
广义对称正则长波方程的新型守恒差分逼近
A new conservative finite difference method for generalized symmetric regularized long wave equation
郑茂波 1胡劲松 2胡兵3
作者信息
- 1. 成都电子机械高等专科学校,成都610031
- 2. 西华大学数学与计算机学院,成都610039
- 3. 四川大学数学学院,成都610064
- 折叠
摘要
Abstract
In this paper, a finite different method for an initial-boundary value problem of generalized symmetric regularized long wave equation is considered. An average implicit and energy conservative fi nite difference scheme with the weighted coefficient d is proposed. Existense and uniqueness of the nu merical solutions are shown. The second-order convergence and the stability of the numerical solutions are proved by the discrete functional analysis. Numerical experiments show that this method is efficient and making appropriate adjustments to the weighted coefficient 0 would make calculations with higher precision.关键词
广义对称正则长波方程/差分格式/守恒/收敛性/稳定性Key words
generalized symmetric 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..广义对称正则长波方程的新型守恒差分逼近[J].四川大学学报（自然科学版）,2011,48(6):1269-1275,7.
