Citation
Mohamad Noor, Nursyazwani and Ibrahim, Zarina Bibi
(2019)
Development of a-stable block method for the solution of stiff ordinary differential equations.
Journal of Engineering and Applied Sciences, 14 (22).
pp. 8160-8167.
ISSN 1816-949X
Abstract
A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the 2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method is developed using Taylor’s series expansion. The order and the error constant of the method are determined. To validate the new method is suitable for solving stiff ODEs, the stability and convergence properties are discussed. Numerical results indicate that the new method produced better accuracy than the existing methods when sloving the same problems.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.36478/jeasci.2019.8160.8167 |
| Publisher: | Medwell Publications |
| Keywords: | Block method; Backward differentiation formula; Stiff, Stability; Ordinary differential equations |
| Depositing User: | Ms. Nuraida Ibrahim |
| Date Deposited: | 09 Sep 2020 07:46 |
| Last Modified: | 09 Sep 2020 07:46 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.36478/jeasci.2019.8160.8167 |
| URI: | http://psasir.upm.edu.my/id/eprint/81149 |
| Statistic Details: | View Download Statistic |
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