Citation
Mohd Radzi, Hazwani and Abdul Majid, Zanariah and Ismail, Fudziah and Suleiman, Mohamed
(2011)
Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations.
In: 4th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO 2011), 19-21 Apr. 2011, Kuala Lumpur, Malaysia. .
Abstract
In this paper, a four step implicit block method for solving first order ordinary differential equations (ODEs) is proposed. The method approximates the solutions of initial value problems at four-point mesh simultaneously using variable step size. This four step implicit method is of the multistep type but it is implemented as the Runge-Kutta type. The stability regions of the method are also studied. Numerical results are presented to show the efficiency of the proposed block method.
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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/10.1109/ICMSAO.2011.5775471 |
| Publisher: | IEEE |
| Keywords: | Four step implicit block method; First order ordinary differential equations (ODEs); Runge-Kutta |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 15 Jul 2016 05:24 |
| Last Modified: | 15 Jul 2016 05:24 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ICMSAO.2011.5775471 |
| URI: | http://psasir.upm.edu.my/id/eprint/47774 |
| Statistic Details: | View Download Statistic |
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