An optimized Runge-Kutta method for the numerical solution of the radial Schrödinger equation
type: Item
instance of: scholarly article
title: An optimized Runge-Kutta method for the numerical solution of the radial Schrödinger equation
zbMATH Open document ID: 1264.65113
DOI: 10.1155/2012/867948
author: Qinghe Ming
author: Yanping Yang
author: Yonglei Fang
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: An optimized explicit modified Runge-Kutta (RK) method for the numerical integration of the radial Schrödinger equation is presented in this paper. This method has frequency-depending coefficients with vanishing dispersion, dissipation, and the first derivative of dispersion. Stability and phase analysis of the new method are examined. The numerical results in the integration of the radial Schrödinger equation with the Woods-Saxon potential are reported to show the high efficiency of the new method.
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6173655
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/867948
OpenAlex ID: W2058419253
Wikidata QID: Q58912579
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description: scientific article; zbMATH DE number 6173655