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A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems

A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared w...

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Main Authors: Alshareeda, Firas Adel Fawzi, Senu, Norazak, Ismail, Fudziah, Abdul Majid, Zanariah
格式: Conference or Workshop Item
語言:English
出版: IEEE 2015
在線閱讀:http://psasir.upm.edu.my/id/eprint/51858/1/A%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20of%20fourth%20order%20for%20periodic%20initial%20value%20problems.pdf
http://psasir.upm.edu.my/id/eprint/51858/
http://ieeexplore.ieee.org/document/7357020/
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spelling my.upm.eprints.518582017-05-02T08:05:18Z http://psasir.upm.edu.my/id/eprint/51858/ A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared with the existing method; which show that the new method is more efficient. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51858/1/A%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20of%20fourth%20order%20for%20periodic%20initial%20value%20problems.pdf Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2015) A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 25-28). http://ieeexplore.ieee.org/document/7357020/ 10.1109/ICREM.2015.7357020
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 A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared with the existing method; which show that the new method is more efficient.
format Conference or Workshop Item
author Alshareeda, Firas Adel Fawzi
Senu, Norazak
Ismail, Fudziah
Abdul Majid, Zanariah
spellingShingle Alshareeda, Firas Adel Fawzi
Senu, Norazak
Ismail, Fudziah
Abdul Majid, Zanariah
A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
author_facet Alshareeda, Firas Adel Fawzi
Senu, Norazak
Ismail, Fudziah
Abdul Majid, Zanariah
author_sort Alshareeda, Firas Adel Fawzi
title A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
title_short A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
title_full A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
title_fullStr A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
title_full_unstemmed A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
title_sort phase-fitted and amplification-fitted modified runge-kutta method of fourth order for periodic initial value problems
publisher IEEE
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/51858/1/A%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20of%20fourth%20order%20for%20periodic%20initial%20value%20problems.pdf
http://psasir.upm.edu.my/id/eprint/51858/
http://ieeexplore.ieee.org/document/7357020/
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score 13.251813

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