Citation
Suleiman, Mohamed and Musa, Hamisu and Ismail, Fudziah and Senu, Norazak
(2013)
A new variable step size block backward differentiation formula for solving stiff initial value problems.
International Journal of Computer Mathematics, 90 (11).
pp. 2391-2408.
ISSN 0020-7160; ESSN: 1029-0265
Abstract
A new block backward differentiation formula of order 4 with variable step size is formulated. By varying a parameter in the formula, different sets of formulae with A-stability property can be generated. At the cost of an additional function evaluation, the accuracy of the method is seen to outperform some existing backward differentiation formula algorithms. The strategy involved in controlling the step size ratio is also described. The problems tested with the method show its efficiency in solving stiff initial value problems.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1080/00207160.2013.776677 |
| Publisher: | Taylor & Francis |
| Keywords: | 2-point block method; Block backward differentiation formula; Initial value problems; Stiff; Variable step size |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 14 Nov 2014 03:18 |
| Last Modified: | 23 Jun 2017 06:26 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1080/00207160.2013.776677 |
| URI: | http://psasir.upm.edu.my/id/eprint/30395 |
| Statistic Details: | View Download Statistic |
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