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


Citation

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).

Abstract

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.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4801147
Publisher: AIP Publishing LLC
Keywords: Embedded explicit Runge-Kutta-Nyström; Oscillatory solutions; Phase-lag
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 04:04
Last Modified: 26 Sep 2017 04:04
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801147
URI: http://psasir.upm.edu.my/id/eprint/57326
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