河南理工大学学报：自然科学版2012，Vol.31Issue(3)：369-372,4.
对流方程差分格式稳定性判定
Verification to stability of difference scheme for convection equation
摘要
Abstract
The paper decided the stability of different difference schemes of the one dimension convection equation using Fourier stability analysis. The fundamental idea of Fourier stability analysis is to extend periodically the error of solution for the linear differential equation and express it using Fourier series, then check the enlargement and decay of every component of the Fourier series. According to Fourier series for each component change over time, we judged the stability of difference schemes by the magnification factor. Using the method, the paper decided the stability of different difference schemes for the given equation.关键词
对流方程/差分格式/稳定性Key words
convection equation/difference scheme/stability分类
数学引用本文复制引用
李五明..对流方程差分格式稳定性判定[J].河南理工大学学报：自然科学版,2012,31(3):369-372,4.基金项目
国家自然科学基金资助项目 （）
河南理工大学青年基金资助项目（Q20H-15）. （）
