Modified explicit Runge-Kutta methods for the numerical solution of the Schrodinger equation

被引：18

作者：

Van de Vyver, H ^{[1
]}

机构：

[1] Ghent Univ, Vakgroep Toegepaste Wiskunde Informat, B-9000 Ghent, Belgium

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 171卷 / 02期

关键词：

explicit Runge-Kutta methods; modified Runge-Kutta methods; radial Schrodinger equation; resonance problem; bound-states problems;

D O I：

10.1016/j.amc.2005.01.100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new procedure for constructing Runge-Kutta methods for an efficient integration of the radial Schrodinger equation is developed in this paper. The new modified Runge-Kutta methods are of algebraically order four. The asymptotic expressions of the local errors for large energies are discussed. Numerical results obtained for the widely used Woods-Saxon potential show the efficiency of the new methods compared with other special optimized fourth-order Runge-Kutta methods. The error analysis will be clearly confirmed by the resonance problem. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1025 / 1036

页数：12

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