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New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems


Citation

Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2016) New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems. Global Journal of Pure and Applied Mathematics, 12 (2). pp. 1229-1242. ISSN 0973-1768; ESSN: 0973-9750

Abstract / Synopsis

In this paper, a new phase-fitted and amplification-fitted modified Runge-Kutta (MRK) method is constructed to solve first-order ordinary differential equations with oscillatory solutions. This new method is based on the Runge-Kutta Zonneveld method with fourth algebraic order. The numerical results for the new method have been compared with other existing methods. Findings have shown that the new method is more efficient than the other existing methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Research India Publications
Keywords: Amplification-fitted and periodic solutions; Phase-fitted; Runge-Kutta methods
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 20 Jun 2016 10:51
Last Modified: 07 Apr 2017 13:04
URI: http://psasir.upm.edu.my/id/eprint/27906
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