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Phase-fitted and amplification-fitted higher order two-derivative Runge-Kutta method for the numerical solution of orbital and related periodical IVPs


Citation

Ahmad, Nur Amirah and Senu, Norazak and Ismail, Fudziah (2017) Phase-fitted and amplification-fitted higher order two-derivative Runge-Kutta method for the numerical solution of orbital and related periodical IVPs. Mathematical Problems in Engineering, 2017. art. no. 1871278. pp. 1-11. ISSN 1024-123X; ESSN: 1563-5147

Abstract / Synopsis

A phase-fitted and amplification-fitted two-derivative Runge-Kutta (PFAFTDRK) method of high algebraic order for the numerical solution of first-order Initial Value Problems (IVPs) which possesses oscillatory solutions is derived. We present a sixth-order four-stage two-derivative Runge-Kutta (TDRK) method designed using the phase-fitted and amplification-fitted property. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of the derived methods in comparison with other existing Runge-Kutta (RK) methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2017/1871278
Publisher: Hindawi Publishing Corporation
Keywords: Phase-fitted and amplification-fitted two-derivative Runge-Kutta (PFAFTDRK); Phase-fitted; Amplification-fitted
Depositing User: Nabilah Mustapa
Date Deposited: 02 May 2017 08:05
Last Modified: 02 May 2017 08:05
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2017/1871278
URI: http://psasir.upm.edu.my/id/eprint/51859
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