解Schr dinger方程的一个新的高精度差分格式

A New High Accuracy Difference Scheme for Solving the Schrdinger Equation

本文对解Schr鰀inger方程2xit=构造了一个绝对稳定的三层隐式差分格式,格式的截断误差阶为)(4223hhO++tt。

In this paper , a three-level implicit difference scheme with high accuracy for solving The Schr鰀inger equation22xuitu= is established. The order of local truncation error for the scheme is )(4223hhO++tt and it is absolutely stable.