四川大学学报（自然科学版）2012，Vol.49Issue(3)：521-524,4.DOI:10.3969/j.issn.0490-6756.2012.03.008
一维半线性色散耗散波动方程的紧致差分格式
Compact difference scheme for one-dimensional semi-linear dispersion dissipation wave equation
张世军 1杜瑜 2胡兵1
作者信息
- 1. 四川大学数学学院,成都610064
- 2. 成都航空职业技术学院基础教学部,成都610021
- 折叠
摘要
Abstract
A compact difference scheme method is constructed for one-dimensional semi-linear dispersion dissipation wave equation. Existence and uniqueness of the solution of difference scheme are proven. It is proven that the compact difference scheme is convergent in the order of O(τ+h4) and stable. A numerical example showing stability and convergence is given.关键词
色散耗散波动方程/半线性/紧致差分格式/稳定性/收敛性Key words
dispersion dissipation wave equation, semi-linear, compact difference scheme, stability, convergence分类
数理科学引用本文复制引用
张世军,杜瑜,胡兵..一维半线性色散耗散波动方程的紧致差分格式[J].四川大学学报（自然科学版）,2012,49(3):521-524,4.
