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

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

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Abstract

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.

Item Type:Article
Keyword:Amplification-fitted and periodic solutions; Phase-fitted; Runge-Kutta methods
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Research India Publications
ID Code:27906
Deposited By: Nurul Ainie Mokhtar
Deposited On:20 Jun 2016 10:51
Last Modified:07 Apr 2017 13:04

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