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Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs

Some new linear 3 and 5-step methods for solving special third order ordinary differential equations directly are constructed using Taylor's series expansion. A set of test problems are solved using the new method and the results are compared when the problem is reduced to a system of first ord...

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Main Authors: Rajabi, Marzieh, Ismail, Fudziah, Senu, Norazak
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57175/1/Linear%203%20and%205-step%20methods%20using%20Taylor%20series%20expansion%20for%20solving%20special%203rd%20order%20ODEs.pdf
http://psasir.upm.edu.my/id/eprint/57175/
http://aip.scitation.org/doi/abs/10.1063/1.4952516
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spelling my.upm.eprints.571752017-09-08T05:30:10Z http://psasir.upm.edu.my/id/eprint/57175/ Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs Rajabi, Marzieh Ismail, Fudziah Senu, Norazak Some new linear 3 and 5-step methods for solving special third order ordinary differential equations directly are constructed using Taylor's series expansion. A set of test problems are solved using the new method and the results are compared when the problem is reduced to a system of first order ordinary differential equations and then using the existing Runge-Kutta method. The numerical results have clearly shown the advantage and competency of the new methods. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57175/1/Linear%203%20and%205-step%20methods%20using%20Taylor%20series%20expansion%20for%20solving%20special%203rd%20order%20ODEs.pdf Rajabi, Marzieh and Ismail, Fudziah and Senu, Norazak (2016) Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-8). http://aip.scitation.org/doi/abs/10.1063/1.4952516 10.1063/1.4952516
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 Some new linear 3 and 5-step methods for solving special third order ordinary differential equations directly are constructed using Taylor's series expansion. A set of test problems are solved using the new method and the results are compared when the problem is reduced to a system of first order ordinary differential equations and then using the existing Runge-Kutta method. The numerical results have clearly shown the advantage and competency of the new methods.
format Conference or Workshop Item
author Rajabi, Marzieh
Ismail, Fudziah
Senu, Norazak
spellingShingle Rajabi, Marzieh
Ismail, Fudziah
Senu, Norazak
Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs
author_facet Rajabi, Marzieh
Ismail, Fudziah
Senu, Norazak
author_sort Rajabi, Marzieh
title Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs
title_short Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs
title_full Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs
title_fullStr Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs
title_full_unstemmed Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs
title_sort linear 3 and 5-step methods using taylor series expansion for solving special 3rd order odes
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/57175/1/Linear%203%20and%205-step%20methods%20using%20Taylor%20series%20expansion%20for%20solving%20special%203rd%20order%20ODEs.pdf
http://psasir.upm.edu.my/id/eprint/57175/
http://aip.scitation.org/doi/abs/10.1063/1.4952516
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score 13.160551

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