Citation
Abd Hamid, Fatin Nadiah and Rabiei, Faranak and Ismail, Fudziah
(2016)
Composite group of explicit Runge-Kutta methods.
In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-7).
Abstract
In this paper,the composite groups of Runge-Kutta (RK) method are proposed. The composite group of RK method of third and second order, RK3(2) and fourth and third order RK4(3) base on classical Runge-Kutta method are derived. The proposed methods are two-step in nature and have less number of function evaluations compared to the existing Runge-Kutta method. The order conditions up to order four are obtained using rooted trees and composite rule introduced by J. C Butcher. The stability regions of RK3(2) and RK4(3) methods are presented and initial value problems of first order ordinary differential equations are carried out. Numerical results are compared with existing Runge-Kutta method.
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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4952537
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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/10.1063/1.4952537 |
| Publisher: | AIP Publishing |
| Keywords: | Composite groups; Runge-Kutta methods |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 08 Sep 2017 05:20 |
| Last Modified: | 08 Sep 2017 05:20 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952537 |
| URI: | http://psasir.upm.edu.my/id/eprint/57159 |
| Statistic Details: | View Download Statistic |
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