A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems

Citation

Moo, Kwong Wing and Senu, Norazak and Ismail, Fudziah and Suleiman, Mohamed (2014) A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. Mathematical Problems in Engineering, 2014. art. no. 985120. pp. 1-8. ISSN 1024-123X; ESSN: 1563-5147

Abstract

A new diagonally implicit Runge-Kutta-Nyström (DIRKN) method is constructed for solving second order differential equations with oscillatory solutions. The method is originally based on existing DIRKN method derived by Senu et al. which is three-stage and fourth algebraic order. The new derived method has a variable coefficient with phase-lag of order infinity. The numerical experiments are carried out and the results show the efficiency and accuracy of the new method in comparison with the other DIRKN methods in the literature.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1155/2014/985120
Publisher:	Hindawi Publishing Corporation
Keywords:	Runge-Kutta-Nyström; Oscillatory solutions
Depositing User:	Nabilah Mustapa
Date Deposited:	25 Jun 2015 04:38
Last Modified:	28 Mar 2016 04:23
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/985120
URI:	http://psasir.upm.edu.my/id/eprint/36306
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