A new optimized Runge-Kutta pair for the numerical solution of the radial Schrödinger equation
type: Item
instance of: scholarly article
title: A new optimized Runge-Kutta pair for the numerical solution of the radial Schrödinger equation
zbMATH Open document ID: 1259.65117
DOI: 10.1155/2012/641236
author: Qinghong Li
author: Qinghe Ming
author: Kai-Min Wang
author: Yonglei Fang
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: A new embedded pair of explicit modified Runge-Kutta (RK) methods for the numerical integration of the radial Schrödinger equation is presented. The two RK methods in the pair have algebraic orders five and four, respectively. The two methods of the embedded pair are derived by nullifying the phase lag, the first derivative of the phase lag of the fifth-order method, and the phase lag of the fourth-order method. Numerical experiments show the efficiency and robustness of our new methods compared with some well-known integrators in the literature.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 6134134
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: radial Schrödinger equation
zbMATH Keywords: numerical experiments
Wikidata QID: Q58695762
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/641236
OpenAlex ID: W2105381369
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description: scientific article; zbMATH DE number 6134134