A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.

Citation

Senu, Norazak and Che, Thian Fung and Ismail, Fudziah (2012) A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique. In: The 5th Saudi Science Conference, 16-18 Apr. 2012, Makkah, Saudi Arabia. .

Abstract

In this paper a new fourth~order explicit Runge-Kutta-Nystrom(RKN) method with dispersion of high order and FSAL technique for second-order systems of ODE with periodical solutions is introduced. The method has phase-lag order eight at a cost of three function evaluations per step or three effective stages. Numerical experiments show the relevance of the developed algorithm. It is found that the new method is more accurate than the current fourth-order (RKND and RKNH) methods developed by van der Bouwen and Sommeijer (1987) and Dormand (1996) respectively.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Faculty of Science Institute for Mathematical Research
Notes:	Full text are available at Special Collection Division Office
Keywords:	Oscillatory problems; Phase-lag; Runge-Kutta-Nystrom Method.
Depositing User:	Erni Suraya Abdul Aziz
Date Deposited:	03 Mar 2014 01:15
Last Modified:	09 Apr 2014 08:24
URI:	http://psasir.upm.edu.my/id/eprint/27343
Statistic Details:	View Download Statistic

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