一种改进的相位拟合和放大拟合龙格-库塔-努斯隆方法，用于求解径向薛定谔方程的数值解。

A modified phase-fitted and amplification-fitted Runge-Kutta-Nyström method for the numerical solution of the radial Schrödinger equation.

机构信息

Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, Tripolis, Greece.

出版信息

J Mol Model. 2010 Aug;16(8):1339-46. doi: 10.1007/s00894-009-0626-7. Epub 2010 Feb 3.

DOI:10.1007/s00894-009-0626-7

PMID:20127396

Abstract

A new Runge-Kutta-Nyström method, with phase-lag and amplification error of order infinity, for the numerical solution of the Schrödinger equation is developed in this paper. The new method is based on the Runge-Kutta-Nyström method with fourth algebraic order, developed by Dormand, El-Mikkawy and Prince. Numerical illustrations indicate that the new method is much more efficient than other methods derived for the same purpose.

摘要

本文提出了一种新的龙格-库塔-努斯藤方法，用于求解薛定谔方程，该方法具有无穷相位滞后和放大误差。新方法基于 Dormand、El-Mikkawy 和 Prince 提出的四阶代数精度的龙格-库塔-努斯藤方法。数值实例表明，新方法比为同一目的而推导的其他方法效率更高。