Citation
Hussain, Kasim and Ismail, Fudziah and Senu, Norazak
(2016)
A new optimized Runge-Kutta method for solving oscillatory problems.
International Journal of Pure and Applied Mathematics, 106 (3).
pp. 715-726.
ISSN 1311-8080; ESSN: 1314-3395
Abstract
A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show that the new proposed method is more efficient as compared with other Runge-Kutta methods in the scientific literature, for the numerical integration of oscillatory problems.
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Official URL or Download Paper: http://www.ijpam.eu/contents/2016-106-3/2/index.ht...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Academic Publications |
| Keywords: | Runge-Kutta method; Phase lag; Amplification error; Oscillatory problems |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 02 May 2017 08:05 |
| Last Modified: | 02 May 2017 08:05 |
| URI: | http://psasir.upm.edu.my/id/eprint/51860 |
| Statistic Details: | View Download Statistic |
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