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A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems


Citation

Demba, Musa Ahmed and Senu, Norazak and Ismail, Fudziah (2016) A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-8).

Abstract

In this work, a new fourth order four stage explicit trigonometrically-fitted Runge-Kutta-Nyström (ETFRKN) method for the numerical solution of second order initial value problems with periodic solutions based on Simos technique is constructed. The numerical results show the efficiency of the new method in comparison with other existing methods.


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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4952521

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4952521
Publisher: AIP Publishing
Keywords: Trigonometric fitting; Runge–Kutta–Nyström method; Periodic problems
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 05:32
Last Modified: 08 Sep 2017 05:32
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952521
URI: http://psasir.upm.edu.my/id/eprint/57167
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