Citation
Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah
(2016)
New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems.
Global Journal of Pure and Applied Mathematics, 12 (2).
pp. 1229-1242.
ISSN 0973-1768; ESSN: 0973-9750
Abstract
In this paper, a new phase-fitted and amplification-fitted modified Runge-Kutta (MRK) method is constructed to solve first-order ordinary differential equations with oscillatory solutions. This new method is based on the Runge-Kutta Zonneveld method with fourth algebraic order. The numerical results for the new method have been compared with other existing methods. Findings have shown that the new method is more efficient than the other existing methods.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Research India Publications |
| Keywords: | Amplification-fitted and periodic solutions; Phase-fitted; Runge-Kutta methods |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 20 Jun 2016 02:51 |
| Last Modified: | 07 Apr 2017 05:04 |
| URI: | http://psasir.upm.edu.my/id/eprint/27906 |
| Statistic Details: | View Download Statistic |
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