Citation
Mohd Yatim, Siti Ainor and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed
(2011)
A quantitative comparison of numerical method for solving stiff ordinary differential equations.
Mathematical Problems in Engineering, 2011.
art. no. 193691.
pp. 1-12.
ISSN 1024-123X; ESSN: 1563-5147
Abstract
We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computation time. The numerical results obtained support the enhancement of the method proposed as compared to MATLAB's suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1155/2011/193691 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Block backward differentiation formulas; Block methods; Computation time; Stiff ordinary differential equations |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 01 Aug 2013 02:07 |
| Last Modified: | 02 Aug 2017 07:28 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2011/193691 |
| URI: | http://psasir.upm.edu.my/id/eprint/25026 |
| Statistic Details: | View Download Statistic |
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