Indian Journal of Science and Technology

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Two Derivative Runge-Kutta Method with FSAL Property for the Solution of First Order Initial Value Problems


Affiliations
1 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
 

A new Two Derivative Runge-Kutta method (TDRK) based on First Same as Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present a fourth order three stages TDRK method designed using the FSAL property. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our methods in comparison with other existing Runge-Kutta methods (RK).

Keywords

Explicit Methods, FSAL Technique, IVPs, TDRK Methods.
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  • Two Derivative Runge-Kutta Method with FSAL Property for the Solution of First Order Initial Value Problems

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Authors

Nur Amirah Ahmad
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Norazak Senu
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

Abstract


A new Two Derivative Runge-Kutta method (TDRK) based on First Same as Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present a fourth order three stages TDRK method designed using the FSAL property. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our methods in comparison with other existing Runge-Kutta methods (RK).

Keywords


Explicit Methods, FSAL Technique, IVPs, TDRK Methods.



DOI: https://doi.org/10.17485/ijst%2F2016%2Fv9i28%2F132789