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Block method for third order ordinary differential equations

The problem of third order ordinary differential equations (ODEs) is solved directly by using the block backward differentiation formula. The block method is constructed by utilizing three back values and by differentiating the interpolating polynomial once, twice and thrice. Two approximated soluti...

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Main Authors: Zainuddin, Nooraini, Ibrahim, Zarina Bibi
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57386/1/Block%20method%20for%20third%20order%20ordinary%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57386/
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spelling my.upm.eprints.573862017-09-27T07:03:25Z http://psasir.upm.edu.my/id/eprint/57386/ Block method for third order ordinary differential equations Zainuddin, Nooraini Ibrahim, Zarina Bibi The problem of third order ordinary differential equations (ODEs) is solved directly by using the block backward differentiation formula. The block method is constructed by utilizing three back values and by differentiating the interpolating polynomial once, twice and thrice. Two approximated solutions are generated concurrently for each integration step. Numerical results indicate the efficiency of the direct method than the usual approach of transforming it into the first order ODEs. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57386/1/Block%20method%20for%20third%20order%20ordinary%20differential%20equations.pdf Zainuddin, Nooraini and Ibrahim, Zarina Bibi (2016) Block method for third order ordinary differential equations. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-5). 10.1063/1.4995919
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 The problem of third order ordinary differential equations (ODEs) is solved directly by using the block backward differentiation formula. The block method is constructed by utilizing three back values and by differentiating the interpolating polynomial once, twice and thrice. Two approximated solutions are generated concurrently for each integration step. Numerical results indicate the efficiency of the direct method than the usual approach of transforming it into the first order ODEs.
format Conference or Workshop Item
author Zainuddin, Nooraini
Ibrahim, Zarina Bibi
spellingShingle Zainuddin, Nooraini
Ibrahim, Zarina Bibi
Block method for third order ordinary differential equations
author_facet Zainuddin, Nooraini
Ibrahim, Zarina Bibi
author_sort Zainuddin, Nooraini
title Block method for third order ordinary differential equations
title_short Block method for third order ordinary differential equations
title_full Block method for third order ordinary differential equations
title_fullStr Block method for third order ordinary differential equations
title_full_unstemmed Block method for third order ordinary differential equations
title_sort block method for third order ordinary differential equations
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/57386/1/Block%20method%20for%20third%20order%20ordinary%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57386/
_version_ 1643836472059494400
score 13.211869

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