四川大学学报（自然科学版）2017，Vol.54Issue(1)：12-18,7.DOI:103969/j.issn.0490-6756.2017.01.003
General Improved KdV方程的三层加权平均线性差分格式
Three-level average linear difference scheme for the general improved KdV equation
赵红伟 1胡兵 1郑茂波2
作者信息
- 1. 四川大学数学学院,成都610064
- 2. 成都工业学院,成都611730
- 折叠
摘要
Abstract
In this paper,a numerical method for initial-boundary value problem of the general improved KdV equation is considered.A three-level average linear-implicit finite difference scheme is proposed and the existence and uniqueness are discussed.It is shown that the finite difference scheme is of second-order convergence and unconditionally stable.Numerical experiments verify the theoretical results.关键词
GIKdV方程/线性差分格式/收敛性/稳定性Key words
GIKdV equation/Linear difference scheme/Convergence/Stability分类
数理科学引用本文复制引用
赵红伟,胡兵,郑茂波..General Improved KdV方程的三层加权平均线性差分格式[J].四川大学学报（自然科学版）,2017,54(1):12-18,7.
