Citation
Mohamad, Munirah and Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah
(2013)
A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems.
In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 229-232).
Abstract
A new Runge-Kutta-Nyström (RKN) method with phase-lag of order infinity for solving second order periodic initial value problems possessing oscillating solutions is derived in this paper. The derivation of phase-fitted four stage explicit RKN method with algebraic order five is discussed. The numerical results show that the new method is much more efficient than the existing methods in the literature.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4823909 |
| Publisher: | AIP Publishing LLC |
| Keywords: | Runge-Kutta-Nystrom methods; Phase-fitted; Oscillatory solutions |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 26 Sep 2017 03:42 |
| Last Modified: | 26 Sep 2017 03:42 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4823909 |
| URI: | http://psasir.upm.edu.my/id/eprint/57213 |
| Statistic Details: | View Download Statistic |
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