A Numerical Algorithm for Solving Stiff Ordinary Differential Equations

Yatim, S. A. M. and Ibrahim, Z. B. and Othman, K. I. and Suleiman, M. B. (2012) A Numerical Algorithm for Solving Stiff Ordinary Differential Equations. Mathematical Problems in Engineering, 2013 (989381). pp. 1-11. ISSN 1024-123X

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Abstract

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-BBDFmethod 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.

Item Type:	Article
Subjects:	L Education > LC Special aspects of education > LC5800-5808 Distance education.
Divisions:	Pusat Pengajian Pendidikan Jarak Jauh (School of Distance Education) > Article
Depositing User:	Mr Noorazilan Noordin
Date Deposited:	22 Dec 2017 04:06
Last Modified:	22 Dec 2017 04:06
URI:	http://eprints.usm.my/id/eprint/38091

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