Citation
Suleiman, Mohamed and Ibrahim, Zarina Bibi and Rasedee, Ahmad Fadly Nurullah
(2011)
Solution of higher order ODEs using backward difference method.
Mathematical Problems in Engineering, 2011 (810324).
pp. 1-18.
ISSN 1024-123X
Abstract
The current numerical technique for solving a system of higher-order ordinary differential equations (ODEs) is to reduce it to a system of first-order equations then solving it using first-order ODE methods. Here, we propose a method to solve higher-order ODEs directly. The formulae will be derived in terms of backward difference in a constant stepsize formulation. The method developed will be validated by solving some higher-order ODEs directly with constant stepsize. To simplify the evaluations of the integration coefficients, we find the relationship between various orders. The result presented confirmed our hypothesis.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1155/2011/810324 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Higher order ODEs. |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 02 Aug 2013 08:03 |
| Last Modified: | 02 Aug 2013 08:03 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2011/810324 |
| URI: | http://psasir.upm.edu.my/id/eprint/25025 |
| Statistic Details: | View Download Statistic |
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