A new optimized Runge-Kutta method for solving oscillatory problems

A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show t...

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Main Authors:	Hussain, Kasim, Ismail, Fudziah, Senu, Norazak
Format:	Article
Language:	English
Published:	Academic Publications 2016
Online Access:	http://psasir.upm.edu.my/id/eprint/51860/1/A%20new%20optimized%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf http://psasir.upm.edu.my/id/eprint/51860/ http://www.ijpam.eu/contents/2016-106-3/2/index.html
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Institution:	Universiti Putra Malaysia
Language:	English

id	my.upm.eprints.51860
record_format	eprints
spelling	my.upm.eprints.518602017-05-02T08:05:22Z http://psasir.upm.edu.my/id/eprint/51860/ A new optimized Runge-Kutta method for solving oscillatory problems Hussain, Kasim Ismail, Fudziah Senu, Norazak A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show that the new proposed method is more efficient as compared with other Runge-Kutta methods in the scientific literature, for the numerical integration of oscillatory problems. Academic Publications 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51860/1/A%20new%20optimized%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf Hussain, Kasim and Ismail, Fudziah and Senu, Norazak (2016) A new optimized Runge-Kutta method for solving oscillatory problems. International Journal of Pure and Applied Mathematics, 106 (3). pp. 715-726. ISSN 1311-8080; ESSN: 1314-3395 http://www.ijpam.eu/contents/2016-106-3/2/index.html
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 explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show that the new proposed method is more efficient as compared with other Runge-Kutta methods in the scientific literature, for the numerical integration of oscillatory problems.
format	Article
author	Hussain, Kasim Ismail, Fudziah Senu, Norazak
spellingShingle	Hussain, Kasim Ismail, Fudziah Senu, Norazak A new optimized Runge-Kutta method for solving oscillatory problems
author_facet	Hussain, Kasim Ismail, Fudziah Senu, Norazak
author_sort	Hussain, Kasim
title	A new optimized Runge-Kutta method for solving oscillatory problems
title_short	A new optimized Runge-Kutta method for solving oscillatory problems
title_full	A new optimized Runge-Kutta method for solving oscillatory problems
title_fullStr	A new optimized Runge-Kutta method for solving oscillatory problems
title_full_unstemmed	A new optimized Runge-Kutta method for solving oscillatory problems
title_sort	new optimized runge-kutta method for solving oscillatory problems
publisher	Academic Publications
publishDate	2016
url	http://psasir.upm.edu.my/id/eprint/51860/1/A%20new%20optimized%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf http://psasir.upm.edu.my/id/eprint/51860/ http://www.ijpam.eu/contents/2016-106-3/2/index.html
_version_	1643835077792104448

A new optimized Runge-Kutta method for solving oscillatory problems

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