Citation
Jana Aksah, Saufianim and Ibrahim, Zarina Bibi and Rahim, Yong Faezah
(2015)
New block Runge-Kutta method with various weights for solving stiff ordinary differential equations.
In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-7).
Abstract
This paper discusses the development of a new block Runge-Kutta (NBRK) method with various weights for solving stiff ordinary differential equations (ODEs). Performance of the proposed method in terms of maximum error and computational time is compared with third order RK (RK3) method and modified weighted RK3 method based on Centroidal Mean (MWRK3CeM). Comparison between weights used is also analyzed. Numerical results show that the proposed method outperformed the MWRK3CeM and the RK3 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/10.1063/1.4954528 |
| Publisher: | AIP Publishing |
| Keywords: | Runge-Kutta method; Weights; Stiff ODEs; Centroidal mean |
| 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=10.1063/1.4954528 |
| URI: | http://psasir.upm.edu.my/id/eprint/57318 |
| Statistic Details: | View Download Statistic |
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