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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

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

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Abstract

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.

Item Type:Article
Keyword:Phase-fitted and amplification-fitted two-derivative Runge-Kutta (PFAFTDRK); Phase-fitted; Amplification-fitted
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2017/1871278
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2017/1871278
ID Code:51859
Deposited By: Nabilah Mustapa
Deposited On:02 May 2017 16:05
Last Modified:02 May 2017 16:05

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