Citation
Suleiman, Mohamed and Musa, Hamisu and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi
(2014)
A new superclass of block backward differentiation formula for stiff ordinary differential equations.
Asian-European Journal of Mathematics, 7 (1).
art. no. 1350034.
pp. 1-17.
ISSN 1793-5571; ESSN: 1793-7183
Abstract
A superclass of block backward differentiation formula (BBDF) suitable for solving stiff ordinary differential equations is developed. The method is of order 3, with smaller error constant than the conventional BBDF. It is A-stable and generates two points at each step of the integration. A comparison is made between the new method, the 2-point block backward differentiation formula (2BBDF) and 1-point backward differentiation formula (1BDF). The numerical results show that the method developed outperformed the 2BBDF and 1BDF methods in terms of accuracy. It also reduces the integration steps when compared with the 1BDF method.
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Official URL or Download Paper: http://www.worldscientific.com/doi/abs/10.1142/S17...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1142/S1793557113500344 |
| Publisher: | World Scientific Publishing |
| Keywords: | Implicit block method; A-stability; Superclass of block backward differentiation formula; Stiff ordinary differential equations |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 13 Jun 2015 06:19 |
| Last Modified: | 26 Jan 2016 04:04 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1142/S1793557113500344 |
| URI: | http://psasir.upm.edu.my/id/eprint/36206 |
| Statistic Details: | View Download Statistic |
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