UPM Institutional Repository

Solution of higher order ODEs using backward difference method.


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


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.

Download File

Full text not available from this repository.
Official URL or Download Paper: http://www.hindawi.com/

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

Actions (login required)

View Item View Item