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Numerical solution for stiff initial value problems using 2-point block multistep method

This paper focuses on the derivation of an improved 2-point Block Backward Differentiation Formula of order five (I2BBDF(5)) for solving stiff first order Ordinary Differential Equations (ODEs). The I2BBDF(5) method is derived by using Taylor's series expansion...

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Main Authors: Mohamad Noor, N., Ibrahim, Zarina Bibi, Ismail, Fudziah
Format: Article
Language:English
Published: IOP Publishing 2018
Online Access:http://psasir.upm.edu.my/id/eprint/75100/1/Numerical_solution_for_stiff_initial_value_problem.pdf
http://psasir.upm.edu.my/id/eprint/75100/
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spelling my.upm.eprints.751002020-04-20T16:32:32Z http://psasir.upm.edu.my/id/eprint/75100/ Numerical solution for stiff initial value problems using 2-point block multistep method Mohamad Noor, N. Ibrahim, Zarina Bibi Ismail, Fudziah This paper focuses on the derivation of an improved 2-point Block Backward Differentiation Formula of order five (I2BBDF(5)) for solving stiff first order Ordinary Differential Equations (ODEs). The I2BBDF(5) method is derived by using Taylor's series expansion to obtain the coefficients of the formula. To verify the efficiency of the I2BBDF(5) method, stiff problems from the literature are tested and compared with the existing solver for stiff ODEs. From the numerical results, we conclude that the I2BBDF(5) method can be an alternative solver for solving stiff ODEs IOP Publishing 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75100/1/Numerical_solution_for_stiff_initial_value_problem.pdf Mohamad Noor, N. and Ibrahim, Zarina Bibi and Ismail, Fudziah (2018) Numerical solution for stiff initial value problems using 2-point block multistep method. Journal of Physics: Conference Series, 1132 (1). pp. 1-9. ISSN 1742-6588; ESSN: 1742-6596 10.1088/1742-6596/1132/1/012017
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 This paper focuses on the derivation of an improved 2-point Block Backward Differentiation Formula of order five (I2BBDF(5)) for solving stiff first order Ordinary Differential Equations (ODEs). The I2BBDF(5) method is derived by using Taylor's series expansion to obtain the coefficients of the formula. To verify the efficiency of the I2BBDF(5) method, stiff problems from the literature are tested and compared with the existing solver for stiff ODEs. From the numerical results, we conclude that the I2BBDF(5) method can be an alternative solver for solving stiff ODEs
format Article
author Mohamad Noor, N.
Ibrahim, Zarina Bibi
Ismail, Fudziah
spellingShingle Mohamad Noor, N.
Ibrahim, Zarina Bibi
Ismail, Fudziah
Numerical solution for stiff initial value problems using 2-point block multistep method
author_facet Mohamad Noor, N.
Ibrahim, Zarina Bibi
Ismail, Fudziah
author_sort Mohamad Noor, N.
title Numerical solution for stiff initial value problems using 2-point block multistep method
title_short Numerical solution for stiff initial value problems using 2-point block multistep method
title_full Numerical solution for stiff initial value problems using 2-point block multistep method
title_fullStr Numerical solution for stiff initial value problems using 2-point block multistep method
title_full_unstemmed Numerical solution for stiff initial value problems using 2-point block multistep method
title_sort numerical solution for stiff initial value problems using 2-point block multistep method
publisher IOP Publishing
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/75100/1/Numerical_solution_for_stiff_initial_value_problem.pdf
http://psasir.upm.edu.my/id/eprint/75100/
_version_ 1665896023500783616
score 13.18916

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