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A quantitative comparison of numerical method for solving stiff ordinary differential equations


Citation

Mohd Yatim, Siti Ainor and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed (2011) A quantitative comparison of numerical method for solving stiff ordinary differential equations. Mathematical Problems in Engineering, 2011. art. no. 193691. pp. 1-12. ISSN 1024-123X; ESSN: 1563-5147

Abstract

We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computation time. The numerical results obtained support the enhancement of the method proposed as compared to MATLAB's suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1155/2011/193691
Publisher: Hindawi Publishing Corporation
Keywords: Block backward differentiation formulas; Block methods; Computation time; Stiff ordinary differential equations
Depositing User: Nur Farahin Ramli
Date Deposited: 01 Aug 2013 02:07
Last Modified: 02 Aug 2017 07:28
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2011/193691
URI: http://psasir.upm.edu.my/id/eprint/25026
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