A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems

A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nyström (RKN) method was developed to integrate second-order differential equations of the form yʺ = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a ‘small’ principal local...

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Main Authors:	Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2010
Online Access:	http://journalarticle.ukm.my/7384/ http://journalarticle.ukm.my/7384/ http://journalarticle.ukm.my/7384/1/01_Md_Yeaminhossain.pdf

id	ukm-7384
recordtype	eprints
spelling	ukm-73842016-12-14T06:43:55Z http://journalarticle.ukm.my/7384/ A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman, A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nyström (RKN) method was developed to integrate second-order differential equations of the form yʺ = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a ‘small’ principal local truncation error coefficient. The stability analysis of the method derived is also given. Numerical comparisons of this new method with RK4(3) and RKN4(3)D methods show its clear advantage in terms of function evaluations and computation time. Universiti Kebangsaan Malaysia 2010-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7384/1/01_Md_Yeaminhossain.pdf Norazak Senu, and Mohamed Suleiman, and Fudziah Ismail, and Mohamed Othman, (2010) A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems. Sains Malaysiana, 39 (4). pp. 639-646. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol39num4_2010/contentsVol39num4_2010.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nyström (RKN) method was developed to integrate second-order differential equations of the form yʺ = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a ‘small’ principal local truncation error coefficient. The stability analysis of the method derived is also given. Numerical comparisons of this new method with RK4(3) and RKN4(3)D methods show its clear advantage in terms of function evaluations and computation time.
format	Article
author	Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman,
spellingShingle	Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman, A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
author_facet	Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman,
author_sort	Norazak Senu,
title	A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
title_short	A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
title_full	A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
title_fullStr	A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
title_full_unstemmed	A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
title_sort	4(3) pair runge-kutta-nystršm method for periodic initial value problems
publisher	Universiti Kebangsaan Malaysia
publishDate	2010
url	http://journalarticle.ukm.my/7384/ http://journalarticle.ukm.my/7384/ http://journalarticle.ukm.my/7384/1/01_Md_Yeaminhossain.pdf
first_indexed	2023-09-18T19:49:33Z
last_indexed	2023-09-18T19:49:33Z
_version_	1777406127567273984

A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems

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