摘要
用组合差商解法对一阶一维双曲型方程构造出一类截断误差为o(τ~4+h^4)的带参数的三层隐式差分格式,分析了格式的稳定性,并用数值例子验证了理论分析的结果.
The paper gives a kind of three-levels implicit difference scheme for the one-order and one-space-dimensional linear hyperbolic equation with combination difference resolution, and its local truncation error is of order o（τ^4 ＋ h^4）. The author analyses the scheme＇s stable. Finally, a numerical example shows that the resolution of theoretic analysis is effective.
出处
《湖南理工学院学报（自然科学版）》
CAS
2010年第2期14-16,22,共4页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
基金
湖南省教育厅资助科研项(06C383)
湖南理工学院院级科研计划项目(2009Y02)
关键词
一维双曲型方程
组合差商解法
隐式差分格式
高精度
one-space-dimensional hyperbolic equation
combination difference algorithm
implicit difference scheme
high-precise
