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, N., Ibrahim, Z.B.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.20036 /
Published: American Institute of Physics Inc. 2017
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85028362351&doi=10.1063%2f1.4995919&partnerID=40&md5=0c682dda384a209c9e9df8fec8f61f3c
http://eprints.utp.edu.my/20036/
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spelling utp-eprints.200362018-04-22T14:38:15Z Block method for third order ordinary differential equations Zainuddin, N. Ibrahim, Z.B. 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. © 2017 Author(s). American Institute of Physics Inc. 2017 Article PeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85028362351&doi=10.1063%2f1.4995919&partnerID=40&md5=0c682dda384a209c9e9df8fec8f61f3c Zainuddin, N. and Ibrahim, Z.B. (2017) Block method for third order ordinary differential equations. AIP Conference Proceedings, 1870 . http://eprints.utp.edu.my/20036/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
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. © 2017 Author(s).
format Article
author Zainuddin, N.
Ibrahim, Z.B.
spellingShingle Zainuddin, N.
Ibrahim, Z.B.
Block method for third order ordinary differential equations
author_sort Zainuddin, N.
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 American Institute of Physics Inc.
publishDate 2017
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85028362351&doi=10.1063%2f1.4995919&partnerID=40&md5=0c682dda384a209c9e9df8fec8f61f3c
http://eprints.utp.edu.my/20036/
_version_ 1741196305756061696
score 11.62408

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