An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order

An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order

A new 5(4) embedded explicit Runge-Kutta-Nystrom (RKN) method with dissipation of high order is developed to solve integration of initial-value problems for second-order ordinary differential equations possessing oscillating solutions. The fifth order formula has dispersive order eight and dissipati...

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Main Authors: Mohamad, Munirah, Senu, Norazak, Suleiman, Mohamed, Ismail, Fudziah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2012
Online Access:http://psasir.upm.edu.my/id/eprint/57326/1/An%20embedded%205%284%29%20explicit%20Runge-Kutta-Nystr%C3%B6m%20method%20with%20dissipation%20of%20high%20order.pdf
http://psasir.upm.edu.my/id/eprint/57326/
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Institution: Universiti Putra Malaysia
Language: English
id my.upm.eprints.57326
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spelling my.upm.eprints.573262017-09-26T04:04:35Z http://psasir.upm.edu.my/id/eprint/57326/ An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order Mohamad, Munirah Senu, Norazak Suleiman, Mohamed Ismail, Fudziah A new 5(4) embedded explicit Runge-Kutta-Nystrom (RKN) method with dissipation of high order is developed to solve integration of initial-value problems for second-order ordinary differential equations possessing oscillating solutions. The fifth order formula has dispersive order eight and dissipative order nine. The fourth-order embedded formula is obtained to control the local truncation errors. Numerical experiments indicate that the new method is more efficient than the existing embedded explicit RKN methods. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57326/1/An%20embedded%205%284%29%20explicit%20Runge-Kutta-Nystr%C3%B6m%20method%20with%20dissipation%20of%20high%20order.pdf Mohamad, Munirah and Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah (2012) An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 362-369). 10.1063/1.4801147
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 new 5(4) embedded explicit Runge-Kutta-Nystrom (RKN) method with dissipation of high order is developed to solve integration of initial-value problems for second-order ordinary differential equations possessing oscillating solutions. The fifth order formula has dispersive order eight and dissipative order nine. The fourth-order embedded formula is obtained to control the local truncation errors. Numerical experiments indicate that the new method is more efficient than the existing embedded explicit RKN methods.
format Conference or Workshop Item
author Mohamad, Munirah
Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
spellingShingle Mohamad, Munirah
Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
author_facet Mohamad, Munirah
Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
author_sort Mohamad, Munirah
title An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
title_short An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
title_full An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
title_fullStr An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
title_full_unstemmed An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
title_sort embedded 5(4) explicit runge-kutta-nyström method with dissipation of high order
publisher AIP Publishing LLC
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/57326/1/An%20embedded%205%284%29%20explicit%20Runge-Kutta-Nystr%C3%B6m%20method%20with%20dissipation%20of%20high%20order.pdf
http://psasir.upm.edu.my/id/eprint/57326/
_version_ 1643836454027132928

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