四川大学学报(自然科学版)2011,Vol.48Issue(6):1227-1233,7.DOI:10.3969/j.issn.0490-6756.2011.06.001
广义对称正则长波方程的守恒型差分格式
Conservation finite difference scheme for generalized symmetric regularized-long-wave equation
摘要
Abstract
In this paper, a finite difference method for an initial-boundary value problem of generalized symmetric regularized-long-wave equation was considered. A energy conservative finite difference of three levels was proposed. This scheme simulates the conservation properties of the problem well. It is proved that the finite difference scheme is convergent in second-order and stable. The numerical exam ples show this scheme is feasible.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
the general symmetric regularized-long-wave equations/finite difference scheme/conservation/convergence/stability分类
数理科学引用本文复制引用
李思霖,胡兵,徐友才,郑茂波..广义对称正则长波方程的守恒型差分格式[J].四川大学学报(自然科学版),2011,48(6):1227-1233,7.基金项目
四川省基础研究项目(2010JY0058) (2010JY0058)