Citation
Othman, Khairil Iskandar and Ibrahim, Zarina Bibi and Suleiman, Mohamed
(2008)
Parallel block backward differentiation formulas for solving ordinary differential equations.
World Academy of Science, Engineering and Technology, 16.
pp. 54-56.
ISSN 2010-376X; ESSN: 2010-3778
Abstract
A parallel block method based on Backward Differentiation Formulas (BDF) is developed for the parallel solution of stiff Ordinary Differential Equations (ODEs). Most common methods for solving stiff systems of ODEs are based on implicit formulae and solved using Newton iteration which requires repeated solution of systems of linear equations with coefficient matrix, I -hβJ . Here, J is the Jacobian matrix of the problem. In this paper,the matrix operations is paralleled in order to reduce the cost of the iterations. Numerical results are given to compare the speedup and efficiency of parallel algorithm and that of sequential algorithm.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| Publisher: | World Academy of Science Engineering and Technology |
| Keywords: | Backward differentiation formula; Block; Ordinary differential equations. |
| Depositing User: | Najwani Amir Sariffudin |
| Date Deposited: | 10 Jan 2014 03:56 |
| Last Modified: | 10 Jan 2014 03:56 |
| URI: | http://psasir.upm.edu.my/id/eprint/16030 |
| Statistic Details: | View Download Statistic |
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