UPM Institutional Repository

A numerical algorithm for solving stiff ordinary differential equations


Mohd Yatim, Siti Ainor and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed (2013) A numerical algorithm for solving stiff ordinary differential equations. Mathematical Problems in Engineering, 2013. art. no. 989381. pp. 1-11. ISSN 1024-123X


An advanced method using block backward differentiation formula (BBDF) is introduced with efficient strategy in choosing the step size and order of the method. Variable step and variable order block backward differentiation formula (VSVO-BBDF) approach is applied throughout the numerical computation. The stability regions of the VSVO-BBDF method are investigated and presented in distinct graphs. The improved performances in terms of accuracy and computation time are presented in the numerical results with different sets of test problems. Comparisons are made between the proposed method and MATLAB’s suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s.

Download File

PDF (Abstract)
A numerical algorithm for solving stiff ordinary differential equations.pdf

Download (179kB) | Preview
Official URL or Download Paper: http://www.hindawi.com/journals/mpe/2013/989381/

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1155/2013/989381
Publisher: Hindawi Publishing Corporation
Keywords: Backward differentiation formula; Block method; Numerical algorithm; Differential equations.
Depositing User: Umikalthom Abdullah
Date Deposited: 11 Sep 2014 03:00
Last Modified: 09 Oct 2015 06:50
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/989381
URI: http://psasir.upm.edu.my/id/eprint/30299
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item