Indian Journal of Science and Technology
Year: 2016, Volume: 9, Issue: 48, Pages: 1-7
F. A. Fawzi1*, N. Senu2 , F. Ismail2 and Z. A. Majid2
1 Department of Mathematics, Faculty of Computer Science and Mathematics, Tikrit University, Iraq; [email protected]ail.com
2 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang - 43400, Selangor, Malaysia
*Author for correspondence
Department of Mathematics
This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving firstorder 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.
Keywords: Runge-Kutta Methods, Trigonometrically-Fitting and Periodic Solutions
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