Citation
Ahmed Demba, Musa and Ramos, Higinio and Kumam, Poom and Watthayu, Wiboonsak and Senu, Norazak and Ahmed, Idris
(2022)
A trigonometrically adapted 6(4) explicit Runge–Kutta–Nyström pair to solve oscillating systems.
Mathematical Methods in the Applied Sciences, 46 (1).
560 - 578.
ISSN 0170-4214; ESSN: 1099-1476
Abstract
In this study, a trigonometrically adapted 6(4) explicit Runge–Kutta–Nyström (RKN) pair with six stages is formulated, considering a previous method developed by El-Mikkawy and Rahmo. The obtained adapted pair integrates exactly the usual test equation: y" = w2y . The local truncation error of the new method is presented, showing that the algebraic order of the original method is maintained. The periodicity interval of the new method is computed, showing that the developed method is “almost” P-stable. The numerical examples considered clearly show the superiority of the new developed embedded pair over other RKN methods of algebraic orders 6(4) with six stages appeared in the literature.
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Official URL or Download Paper: https://onlinelibrary.wiley.com/doi/abs/10.1002/mm...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1002/mma.8528 |
| Publisher: | John Wiley & Sons |
| Keywords: | Initial value problems; Oscillatory problems; Runge–Kutta–Nyström pair; Trigonometrically fitted approach |
| Depositing User: | Ms. Nur Faseha Mohd Kadim |
| Date Deposited: | 23 Nov 2023 08:46 |
| Last Modified: | 23 Nov 2023 08:46 |
| URI: | http://psasir.upm.edu.my/id/eprint/100484 |
| Statistic Details: | View Download Statistic |
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