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A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs


Citation

Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2016) A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs. Indian Journal of Science and Technology, 9 (48). pp. 1-7. ISSN 0974-6846; ESSN: 0974-5645

Abstract / Synopsis

This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving first-order differential equations with periodic solutions. The newly developed method was made according to the method of Runge-Kutta Dorm and to fourth algebraic order. Numerical results for the new method were compared with the existing method, showing the potential of the new method over other existing methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Indian Society for Education and Environment
Keywords: Runge-Kutta methods; Trigonometrically-fitting; Periodic solutions
Depositing User: Nabilah Mustapa
Date Deposited: 02 May 2017 08:05
Last Modified: 02 May 2017 08:05
URI: http://psasir.upm.edu.my/id/eprint/51861
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