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A Numerical Algorithm for Solving Stiff Ordinary Differential Equations

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 computati...

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Main Authors:	Yatim, S. A. M., Ibrahim, Z. B., Othman, K. I., Suleiman, M. B.
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2012
Subjects:	LC5800-5808 Distance education.
Online Access:	http://eprints.usm.my/38091/1/A_Numerical_Algorithm_for_Solving_Stiff_Ordinary_Differential_Equations.pdf http://eprints.usm.my/38091/ http://dx.doi.org/10.1155/2013/989381
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id	my.usm.eprints.38091
record_format	eprints
spelling	my.usm.eprints.38091 http://eprints.usm.my/38091/ A Numerical Algorithm for Solving Stiff Ordinary Differential Equations Yatim, S. A. M. Ibrahim, Z. B. Othman, K. I. Suleiman, M. B. LC5800-5808 Distance education. 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. Hindawi Publishing Corporation 2012 Article PeerReviewed application/pdf en http://eprints.usm.my/38091/1/A_Numerical_Algorithm_for_Solving_Stiff_Ordinary_Differential_Equations.pdf 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 http://dx.doi.org/10.1155/2013/989381
institution	Universiti Sains Malaysia
building	Hamzah Sendut Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Sains Malaysia
content_source	USM Institutional Repository
url_provider	http://eprints.usm.my/
language	English
topic	LC5800-5808 Distance education.
spellingShingle	LC5800-5808 Distance education. Yatim, S. A. M. Ibrahim, Z. B. Othman, K. I. Suleiman, M. B. A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
description	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.
format	Article
author	Yatim, S. A. M. Ibrahim, Z. B. Othman, K. I. Suleiman, M. B.
author_facet	Yatim, S. A. M. Ibrahim, Z. B. Othman, K. I. Suleiman, M. B.
author_sort	Yatim, S. A. M.
title	A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
title_short	A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
title_full	A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
title_fullStr	A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
title_full_unstemmed	A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
title_sort	numerical algorithm for solving stiff ordinary differential equations
publisher	Hindawi Publishing Corporation
publishDate	2012
url	http://eprints.usm.my/38091/1/A_Numerical_Algorithm_for_Solving_Stiff_Ordinary_Differential_Equations.pdf http://eprints.usm.my/38091/ http://dx.doi.org/10.1155/2013/989381
_version_	1643709256281620480
score	13.211869

A Numerical Algorithm for Solving Stiff Ordinary Differential Equations

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