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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American Institute of Physics Inc.
2017
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my.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/ |
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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). |
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Article |
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Zainuddin, N. Ibrahim, Z.B. |
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Zainuddin, N. Ibrahim, Z.B. Block method for third order ordinary differential equations |
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Zainuddin, N. Ibrahim, Z.B. |
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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 |
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Block method for third order ordinary differential equations |
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Block method for third order ordinary differential equations |
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block method for third order ordinary differential equations |
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American Institute of Physics Inc. |
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2017 |
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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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