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Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs

Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2016) Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. pp. 1-7.

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Official URL: http://aip.scitation.org/doi/abs/10.1063/1.4952524

Abstract

In this note, an explicit trigonometrically-fitted (RK) method is developed to determine the approximate solution of the first-order IVPs with oscillatory solution. The proposed method solves first order ODEs by first converting the second order ODEs to an equivalent first order; which is based on the RK method of order four. The numerical experiment performed shows the efficacy of our newly developed method.

Item Type:Conference or Workshop Item (Paper)
Keyword:Trigonometrically-fitted; First order ODEs
Faculty or Institute:Faculty of Computer Science and Information Technology
Faculty of Science
Institute for Mathematical Research
Publisher:AIP Publishing
DOI Number:10.1063/1.4952524
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952524
ID Code:57165
Deposited By: Nabilah Mustapa
Deposited On:08 Sep 2017 13:30
Last Modified:08 Sep 2017 13:30

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