## Abstract and Applied Analysis

### A New Optimized Runge-Kutta Pair for the Numerical Solution of the Radial Schrödinger Equation

#### Abstract

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. Nu merical experiments show the efficiency and robustness of our new methods compared with some well-known integrators in the literature.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 641236, 15 pages.

Dates
First available in Project Euclid: 28 March 2013

https://projecteuclid.org/euclid.aaa/1364475934

Digital Object Identifier
doi:10.1155/2012/641236

Mathematical Reviews number (MathSciNet)
MR2994964

Zentralblatt MATH identifier
1259.65117

#### Citation

Fang, Yonglei; Li, Qinghong; Ming, Qinghe; Wang, Kaimin. A New Optimized Runge-Kutta Pair for the Numerical Solution of the Radial Schrödinger Equation. Abstr. Appl. Anal. 2012 (2012), Article ID 641236, 15 pages. doi:10.1155/2012/641236. https://projecteuclid.org/euclid.aaa/1364475934

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