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A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems

Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2015) A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. pp. 25-28.

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Official URL: http://ieeexplore.ieee.org/document/7357020/

Abstract

A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared with the existing method; which show that the new method is more efficient.

Item Type:Conference or Workshop Item (Paper)
Keyword:Amplification-fitted; Periodic solutions; Phase-fitted; Runge-Kutta methods
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:IEEE
DOI Number:10.1109/ICREM.2015.7357020
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ICREM.2015.7357020
ID Code:51858
Deposited By: Nabilah Mustapa
Deposited On:02 May 2017 16:05
Last Modified:02 May 2017 16:05

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