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A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems


Citation

Moo, Kwong Wing and Senu, Norazak and Ismail, Fudziah and Suleiman, Mohamed (2012) A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 316-322).

Abstract

In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The new method is based on Dormand's Runge-Kutta-Nyström method of algebraic order four, by using the idea of phase-lag of order infinity, a new method for solving second-order ordinary differential equations (ODE) with oscillatory solutions is derived. Numerical tests show that the new method is more accurate than other existing methods that based on the minimal phase-lag theory.


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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/10.1063/1.4801141
Publisher: AIP Publishing LLC
Keywords: Oscillatory solutions; Phase-fitted; Phase-lag; Runge-Kutta-Nyström
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 04:02
Last Modified: 26 Sep 2017 04:02
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801141
URI: http://psasir.upm.edu.my/id/eprint/57315
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