Indian Journal of Science and Technology
DOI: 10.17485/ijst/2016/v9i28/97748
Year: 2016, Volume: 9, Issue: 28, Pages: 1-8
Original Article
Nur Amirah Ahmad* and Norazak Senu
Department of Mathematics and Institute for Mathematical Research,
*Author for correspondence
Nur Amirah Ahmad
Department of Mathematics and Institute for Mathematical Research,
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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