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

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 computatio...

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Main Authors: Mohd Yatim, Siti Ainor, Ibrahim, Zarina Bibi, Othman, Khairil Iskandar, Suleiman, Mohamed
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2011
Online Access:http://psasir.upm.edu.my/id/eprint/25026/1/25026.pdf
http://psasir.upm.edu.my/id/eprint/25026/
https://www.hindawi.com/journals/mpe/2011/193691/abs/
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spelling my.upm.eprints.250262017-08-02T07:28:14Z http://psasir.upm.edu.my/id/eprint/25026/ A quantitative comparison of numerical method for solving stiff ordinary differential equations Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed 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. Hindawi Publishing Corporation 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25026/1/25026.pdf 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 https://www.hindawi.com/journals/mpe/2011/193691/abs/ 10.1155/2011/193691
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Mohd Yatim, Siti Ainor
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
Suleiman, Mohamed
spellingShingle Mohd Yatim, Siti Ainor
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
Suleiman, Mohamed
A quantitative comparison of numerical method for solving stiff ordinary differential equations
author_facet Mohd Yatim, Siti Ainor
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
Suleiman, Mohamed
author_sort Mohd Yatim, Siti Ainor
title A quantitative comparison of numerical method for solving stiff ordinary differential equations
title_short A quantitative comparison of numerical method for solving stiff ordinary differential equations
title_full A quantitative comparison of numerical method for solving stiff ordinary differential equations
title_fullStr A quantitative comparison of numerical method for solving stiff ordinary differential equations
title_full_unstemmed A quantitative comparison of numerical method for solving stiff ordinary differential equations
title_sort quantitative comparison of numerical method for solving stiff ordinary differential equations
publisher Hindawi Publishing Corporation
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/25026/1/25026.pdf
http://psasir.upm.edu.my/id/eprint/25026/
https://www.hindawi.com/journals/mpe/2011/193691/abs/
_version_ 1643828536333565952
score 13.160551

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