二维线性Schrdinger方程的紧差分格式  

Compact Difference Scheme of Two-dimensional Linear Schrdinger Equation

作　　者：胡汉章[1] 

机构地区：[1]嘉应学院数学学院,广东梅州514015

出　　处：《嘉应学院学报》2010年第8期11-15,共5页Journal of Jiaying University

摘　　要：对二维线性方程给出一种紧差分格式,证明了该格式满足电荷守恒关系且是收敛稳定的,在数值实验中给出了数值计算的实验结果,通过计算表明这个格式精度具有O(τ2+h4)。This paper presents a Compact difference Scheme for two-dimensional linear equation.The scheme satisfies the charge of system and its convergence and stability are proved.In the numerical experiment,the numerical result of example is presented by means of numerical computing,which indicates the scheme is O（τ^2＋h^4）.

关 键 词：方程 差分紧格式 高数度 守恒性 收敛性 稳定性 

分 类 号：O241.82[理学—计算数学]