Indian Journal of Science and Technology

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A Fourth Algebraic Order Explicit Trigonometrically- Fitted Modified Runge-Kutta Method for the Numerical Solution of Periodic IVPs


Affiliations
1 Department of Mathematics, Faculty of Computer Science and Mathematics, Tikrit University, Iraq
2 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang - 43400, Selangor, Malaysia
3 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang - 43400, Selangor,, Malaysia
 

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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  • A Fourth Algebraic Order Explicit Trigonometrically- Fitted Modified Runge-Kutta Method for the Numerical Solution of Periodic IVPs

Abstract Views: 180  |  PDF Views: 0

Authors

F. A. Fawzi
Department of Mathematics, Faculty of Computer Science and Mathematics, Tikrit University, Iraq
N. Senu
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang - 43400, Selangor, Malaysia
F. Ismail
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang - 43400, Selangor, Malaysia
Z. A. Majid
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang - 43400, Selangor,, Malaysia

Abstract


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



DOI: https://doi.org/10.17485/ijst%2F2016%2Fv9i48%2F140437