摘要
针对一类二维抛物型方程,建立了紧交替方向隐式差分格式,利用von Newmann方法分析其稳定性,并给出了截断误差阶估计.比较以往算法,此格式具有精度高,无条件稳定等优点.
In this paper,a compact ADI difference scheme is constructed for two-dimensional parabolic equation.The stability is analyzed by using von Newmann method and the truncation error estimates are given.Compared with traditional algorithms,we illustrates that the scheme has high accuracy and better stability.
出处
《沈阳理工大学学报》
CAS
2011年第4期84-86,共3页
Journal of Shenyang Ligong University
基金
安徽省教育厅自然科学基金重点项目(KJ2010A224)
安庆师范学院青年科研基金项目(KJ201020)
关键词
二维抛物型方程
高精度
紧交替方向隐式差分格式
稳定性
截断误差
two-dimensional parabolic equation
high accuracy
compact ADI difference scheme
stability
truncation error estimate
