关于色散方程的一类二阶恒稳显格式  

A KIND OF ABSOLUTELY STABLE EXPLICIT DIFFERENCE SCHEME HAVING TWO ORDER FOR DISPERSION EQUATION

作　　者：陈海光[1] 张大凯[2] 

机构地区：[1]上海师范大学奉贤校区机电学院,上海201418 [2]贵州大学数学系,贵阳550025

出　　处：《高等学校计算数学学报》2001年第3期255-260,共6页Numerical Mathematics A Journal of Chinese Universities

摘　　要：A kind of absolutely stable explicit difference schemes with two parameters for the dispersion equation u t=au xxx are proposed by this paper here. The truncation errors of the schemes are first order in time and second order in space. And the schemes are absolutely stable, simple and easy to calculate. For the present, they are the perfect three level explicit difference schems which have good accuracy, stability and calculation simplity. The numerical examples have examined the result of theoretical analysis.A kind of absolutely stable explicit difference schemes with two parameters for the dispersion equation u t=au xxx are proposed by this paper here. The truncation errors of the schemes are first order in time and second order in space. And the schemes are absolutely stable, simple and easy to calculate. For the present, they are the perfect three level explicit difference schems which have good accuracy, stability and calculation simplity. The numerical examples have examined the result of theoretical analysis.

关 键 词：色散方程 傅里叶变换 显式差分格式 稳定性 充分条件 

分 类 号：O241.82[理学—计算数学]