UPM Institutional Repository

Partitioning ordinary differential equations using multistep formulas.


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


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.

Download File

Full text not available from this repository.

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

Actions (login required)

View Item View Item