Citation
Suleiman, Mohamed and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar
(2008)
Partitioning ordinary differential equations using multistep formulas.
World Academy of Science, Engineering and Technology, 16.
pp. 52-53.
ISSN 2010-376X
Abstract
This paper focuses on solving Ordinary Differential Equations (ODEs) using partitioning technique known as Intervalwise Partitioning Block (IPB) method which is based on Block Backward Differentiation Formulas (BBDF) and Block Adams Formulas. Method based on BBDF requires Newton-like iteration involving the Jacobian matrix of the ODEs. These matrix operations in the iteration scheme are expensive and require a considerable amount of computational effort. Therefore, IPB technique is developed to reduce the cost of these iterations. Numerical results indicate that the IPB strategy reduce the execution time while accuracy is maintained.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Subject: | Differential equations. |
| Subject: | Differential equations - Numerical solutions. |
| Divisions: | Faculty of Science |
| Publisher: | World Academy of Science Engineering and Technology |
| Keywords: | Block; Ordinary differential equations; Partitioning. |
| Depositing User: | Najwani Amir Sariffudin |
| Date Deposited: | 18 Jul 2013 00:55 |
| Last Modified: | 18 Jul 2013 00:55 |
| URI: | http://psasir.upm.edu.my/id/eprint/16054 |
| Statistic Details: | View Download Statistic |
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