Citation
Moo, Kwong Wing and Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah
(2013)
A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs.
In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 263-267).
Abstract
In this paper, a new three-stage Runge-Kutta-Nyström (RKN) method with two variable coefficients is constructed. The new method is based on Garcia's RKN method of algebraic order four. By using the idea of dispersion and dissipation of order infinity, a new method for solving second-order ordinary differential equations (ODE) with periodic solutions is derived. Numerical tests show that the new method is more accurate than the other existing methods that were derived in the past.
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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/10.1063/1.4823916 |
| Publisher: | AIP Publishing LLC |
| Keywords: | Dispersion; Dissipation; Runge-Kutta-Nystrom |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 08 Sep 2017 09:43 |
| Last Modified: | 08 Sep 2017 09:43 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4823916 |
| URI: | http://psasir.upm.edu.my/id/eprint/57192 |
| Statistic Details: | View Download Statistic |
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