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A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems

A new 5(4) pair embedded explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form y"=f (x,y)where the solution is oscillatory. The embedded formula has dispersive order eight and dissipative order five for the fifth-order 5(4) pair. The 5(4)...

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Main Authors: Senu, Norazak, Suleiman, Mohamed
Format: Article
Published: Global Information Publisher 2009
Online Access:http://psasir.upm.edu.my/id/eprint/12643/
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spelling my.upm.eprints.126432015-05-29T04:14:26Z http://psasir.upm.edu.my/id/eprint/12643/ A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems Senu, Norazak Suleiman, Mohamed A new 5(4) pair embedded explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form y"=f (x,y)where the solution is oscillatory. The embedded formula has dispersive order eight and dissipative order five for the fifth-order 5(4) pair. The 5(4) pair cost four function evaluations at each step of integration. Nu- merical comparisons with current methods such as DOPRI5, RKN5(4)D and RKN5(4)B show the efficiency of the new method developed. Global Information Publisher 2009 Article PeerReviewed Senu, Norazak and Suleiman, Mohamed (2009) A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems. International Journal of Computational Science, 3 (1). pp. 53-68. ISSN 1992-6669; ESSN: 1992-6677
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/
description A new 5(4) pair embedded explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form y"=f (x,y)where the solution is oscillatory. The embedded formula has dispersive order eight and dissipative order five for the fifth-order 5(4) pair. The 5(4) pair cost four function evaluations at each step of integration. Nu- merical comparisons with current methods such as DOPRI5, RKN5(4)D and RKN5(4)B show the efficiency of the new method developed.
format Article
author Senu, Norazak
Suleiman, Mohamed
spellingShingle Senu, Norazak
Suleiman, Mohamed
A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
author_facet Senu, Norazak
Suleiman, Mohamed
author_sort Senu, Norazak
title A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
title_short A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
title_full A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
title_fullStr A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
title_full_unstemmed A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
title_sort 5(4) pair explicit runge-kutta-nystrom method for solving oscillatory problems
publisher Global Information Publisher
publishDate 2009
url http://psasir.upm.edu.my/id/eprint/12643/
_version_ 1643825090606923776
score 13.18916

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