Cover Image

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...

Full description

Saved in:
Bibliographic Details
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/7384/1/01_Md_Yeaminhossain.pdf
http://journalarticle.ukm.my/7384/
http://www.ukm.my/jsm/english_journals/vol39num4_2010/contentsVol39num4_2010.html
Tags: Add Tag
No Tags, Be the first to tag this record!
id my-ukm.journal.7384
record_format eprints
spelling my-ukm.journal.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
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
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/7384/1/01_Md_Yeaminhossain.pdf
http://journalarticle.ukm.my/7384/
http://www.ukm.my/jsm/english_journals/vol39num4_2010/contentsVol39num4_2010.html
_version_ 1643737109057503232
score 13.244404

Similar Items