| 一维线性Schrdinger方程的紧差分守恒格式 |
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| 引用本文： | 胡汉章.一维线性Schrdinger方程的紧差分守恒格式[J].嘉应学院学报,2011,29(5):9-14. |
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| 作者姓名： | 胡汉章 |
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| 作者单位： | 嘉应学院数学学院,广东梅州,514015 |
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| 摘 要： | 对一维线性Schrdinger方程的初边值问题给出了紧差分格式,证明了该格式满足电荷和能量守恒关系,并用能量方法证明了格式的收敛性和稳定性,最后给出了数值结果,结果表明本文格式的精度具有O(τ2+h4).
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| 关 键 词： | 方程 紧差分格式 守恒性 收敛性 稳定性 |
Compact Difference Conservative Scheme of One-dimensional Linear Schrodinger Equation |
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| HU Hang-zhang.Compact Difference Conservative Scheme of One-dimensional Linear Schrodinger Equation[J].Journal of Jiaying University,2011,29(5):9-14. |
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| Authors: | HU Hang-zhang |
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| Institution: | HU Hang-zhang(School of Mathematics,Jiaying University,Meizhou 514015,China) |
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| Abstract: | This paper presents the initial-boundary value problem of a compact difference scheme for one-dimensional linear Schrodinger equation.The scheme conserves the energy and charge of system and its convergence and stability are proved.Finalhy,we present the numerical result of the examples.By means of numerical computing,it indicates the scheme is O（τ^2＋h^4）. |
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| Keywords: | Schrodinger equation compact difference scheme conservation convergence stability |
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