Cover Image

A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems

In this work, a new way for constructing an efficiently modified Runge-Kutta (RK) method to solve first-order ordinary differential equations with oscillatory solutions is provided. The proposed method solves the first-order ODEs by first converting the second order ODEs to an equivalent first-order...

Full description

Saved in:
Bibliographic Details
Main Authors: Fawzi, F. A., Senu, N., Ismail, F., Majid, Z. A.
Format: Article
Language:English
Published: Hikari 2016
Online Access:http://psasir.upm.edu.my/id/eprint/54872/1/A%20New%20Embedded%20Phase-Fitted%20Modified.pdf
http://psasir.upm.edu.my/id/eprint/54872/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.54872
record_format eprints
spelling my.upm.eprints.548722018-05-28T07:28:46Z http://psasir.upm.edu.my/id/eprint/54872/ A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems Fawzi, F. A. Senu, N. Ismail, F. Majid, Z. A. In this work, a new way for constructing an efficiently modified Runge-Kutta (RK) method to solve first-order ordinary differential equations with oscillatory solutions is provided. The proposed method solves the first-order ODEs by first converting the second order ODEs to an equivalent first-order ODEs. The method of the embedded has algebraic orders five and four. The numerical results of the new method have been compared with those of existing methods and showed that the new method is more efficient. Hikari 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54872/1/A%20New%20Embedded%20Phase-Fitted%20Modified.pdf Fawzi, F. A. and Senu, N. and Ismail, F. and Majid, Z. A. (2016) A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems. Applied Mathematical Sciences, 10 (44). pp. 2157-2178. ISSN 1312-885X; ESSN: 1314-7552 10.12988/ams.2016.64146
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 In this work, a new way for constructing an efficiently modified Runge-Kutta (RK) method to solve first-order ordinary differential equations with oscillatory solutions is provided. The proposed method solves the first-order ODEs by first converting the second order ODEs to an equivalent first-order ODEs. The method of the embedded has algebraic orders five and four. The numerical results of the new method have been compared with those of existing methods and showed that the new method is more efficient.
format Article
author Fawzi, F. A.
Senu, N.
Ismail, F.
Majid, Z. A.
spellingShingle Fawzi, F. A.
Senu, N.
Ismail, F.
Majid, Z. A.
A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems
author_facet Fawzi, F. A.
Senu, N.
Ismail, F.
Majid, Z. A.
author_sort Fawzi, F. A.
title A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems
title_short A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems
title_full A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems
title_fullStr A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems
title_full_unstemmed A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems
title_sort new embedded phase-fitted modified runge-kutta method for the numerical solution of oscillatory problems
publisher Hikari
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/54872/1/A%20New%20Embedded%20Phase-Fitted%20Modified.pdf
http://psasir.upm.edu.my/id/eprint/54872/
_version_ 1643835731881230336
score 13.211869

Similar Items