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Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems

Ahmad, Nur Amirah and Senu, Norazak (2016) Two derivative Runge-Kutta method with FSAL property for the solution of first order initial value problems. Indian Journal of Science and Technology, 9 (28). pp. 1-8. ISSN 0974-6846; ESSN: 0974-5645

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Official URL: http://www.indjst.org/index.php/indjst/article/vie...

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).

Item Type:Article
Keyword:Explicit methods; FSAL technique; IVPs; TDRK methods
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Indian Society for Education and Environment
ID Code:51862
Deposited By: Nabilah Mustapa
Deposited On:02 May 2017 16:05
Last Modified:02 May 2017 16:05

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