Citation
Md Ariffin, Latifah and Senu, Norazak and Suleiman, Mohamed
(2013)
Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations.
In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 326-329).
Abstract
A two-stage explicit two-step Runge-Kutta-Nyström (TSRKN) method is constructed for the numerical integration of special second-order IVPs. Algebraic order conditions of the method are obtained and third-order method is derived. A standard set of test problems are tested and comparisons on the numerical results are made with existing Runge-Kutta-Nyström (RKN) and Runge-Kutta (RK) methods of the same order using constant step size. The numerical results show's its clear advantage in terms of function evaluation.
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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/10.1063/1.4823929 |
| Publisher: | AIP Publishing LLC |
| Keywords: | Two-step Runge-Kutta-Nystrom method; Order conditions; Second-order ordinary differential equations; Constant step size |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 26 Sep 2017 03:42 |
| Last Modified: | 26 Sep 2017 03:42 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4823929 |
| URI: | http://psasir.upm.edu.my/id/eprint/57217 |
| Statistic Details: | View Download Statistic |
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