Citation
Mohamad, Munirah and Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah
(2012)
An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order.
In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 362-369).
Abstract
A new 5(4) embedded explicit Runge-Kutta-Nystrom (RKN) method with dissipation of high order is developed to solve integration of initial-value problems for second-order ordinary differential equations possessing oscillating solutions. The fifth order formula has dispersive order eight and dissipative order nine. The fourth-order embedded formula is obtained to control the local truncation errors. Numerical experiments indicate that the new method is more efficient than the existing embedded explicit RKN methods.
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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/10.1063/1.4801147 |
| Publisher: | AIP Publishing LLC |
| Keywords: | Embedded explicit Runge-Kutta-Nyström; Oscillatory solutions; Phase-lag |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 26 Sep 2017 04:04 |
| Last Modified: | 26 Sep 2017 04:04 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801147 |
| URI: | http://psasir.upm.edu.my/id/eprint/57326 |
| Statistic Details: | View Download Statistic |
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