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


Citation

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).

Abstract / Synopsis

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.


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Additional Metadata

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