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

Nur Amirah Ahmad   and Norazak Senu

doi:10.17485/ijst/2016/v9i28/97748

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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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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9i28/97748

Year: 2016, Volume: 9, Issue: 28, Pages: 1-8

Original Article

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

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,

This work is licensed under a Creative Commons Attribution 4.0 International License.

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