Runge-Kutta Type Tenth Algebraic Order Method with Vanished Phase-Lag and its First, Second, Third, Fourth and Fifth Derivatives for the Numerical Solution of the Schr ¨odinger Equation

Authors

Fei Hui, School of Information Engineering, Chang’an University, Xi’an, 710064, ChinaFollow
T. E. Simos, Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia\\ Laboratory of Computational Sciences, Department of Informatics and Telecommunications, Faculty of Economy, Management and Informatics, University of Peloponnese, GR-221 00 Tripolis, GreeceFollow

Author Country (or Countries)

China

Abstract

A Runge-Kutta type tenth algebraic order two-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives is produced in this paper. We also investigate the effect of elimination of the phase-lag and its derivatives on the efficiency of the obtained method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100114

Recommended Citation

Hui, Fei and E. Simos, T. (2016) "Runge-Kutta Type Tenth Algebraic Order Method with Vanished Phase-Lag and its First, Second, Third, Fourth and Fifth Derivatives for the Numerical Solution of the Schr ¨odinger Equation," Applied Mathematics & Information Sciences: Vol. 10: Iss. 1, Article 14.
DOI: http://dx.doi.org/10.18576/amis/100114
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/14