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A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems

A three-stage third-order explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form where the solution is oscillatory. Presented are formula which has zero-dissipation, maximum order of dispersion (or minimal phase-lag) and at the same time with...

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Main Authors: Senu, Norazak, Suleiman, Mohamed, Ismail, Fudziah, Othman, Mohamed
Format: Conference or Workshop Item
Language:English
Published: 2009
Online Access:http://psasir.upm.edu.my/id/eprint/8840/
http://dx.doi.org/10.1155/2010/591341
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spelling my.upm.eprints.88402010-12-21T04:09:02Z http://psasir.upm.edu.my/id/eprint/8840/ A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed A three-stage third-order explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form where the solution is oscillatory. Presented are formula which has zero-dissipation, maximum order of dispersion (or minimal phase-lag) and at the same time with ’small’ principal local truncation error terms . The interval of periodicity is investigated and calculated. Numerical comparisons with current methods in the literature show its clear advantage in term of accuracy. 2009-06-09 Conference or Workshop Item NonPeerReviewed Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed (2009) A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems. In: The 5th International Conference on Mathmatics, Statistics and Their Application(ICMSA2009), 9-11 June 2009, University of Andalas, Indonesia. . http://dx.doi.org/10.1155/2010/591341 English
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 three-stage third-order explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form where the solution is oscillatory. Presented are formula which has zero-dissipation, maximum order of dispersion (or minimal phase-lag) and at the same time with ’small’ principal local truncation error terms . The interval of periodicity is investigated and calculated. Numerical comparisons with current methods in the literature show its clear advantage in term of accuracy.
format Conference or Workshop Item
author Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
Othman, Mohamed
spellingShingle Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
Othman, Mohamed
A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
author_facet Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
Othman, Mohamed
author_sort Senu, Norazak
title A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
title_short A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
title_full A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
title_fullStr A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
title_full_unstemmed A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
title_sort zero-dissipative runge-kutta-nyström method with minimal phase-lag for oscillatory problems
publishDate 2009
url http://psasir.upm.edu.my/id/eprint/8840/
http://dx.doi.org/10.1155/2010/591341
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score 13.209306

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