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A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems


Citation

Demba, Musa A. and Senu, Norazak and Ismail, Fudziah (2016) A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems. International Journal of Applied Engineering Research, 11 (11). pp. 7495-7500. ISSN 0973-4562; ESSN: 1087-1090

Abstract

In this paper, symplectic third-order three-stage explicit trigonometrically-fitted Runge-Kutta-Nyström (RKN) method for the numerical solution of second order initial value problems with periodic solutions is derived. The numerical results show the accuracy of the new method in comparison with other existing symplectic and non-symplectic RKN methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Publisher: Research India Publications
Keywords: Runge-Kutta-Nyström (RKN); Numerical solution; Fields of applied sciences
Depositing User: Mohd Hafiz Che Mahasan
Date Deposited: 10 Jul 2018 03:27
Last Modified: 10 Jul 2018 03:27
URI: http://psasir.upm.edu.my/id/eprint/54946
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