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


Citation

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

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).


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Indian Society for Education and Environment
Keywords: Explicit methods; FSAL technique; IVPs; TDRK methods
Depositing User: Nabilah Mustapa
Date Deposited: 02 May 2017 08:05
Last Modified: 02 May 2017 08:05
URI: http://psasir.upm.edu.my/id/eprint/51862
Statistic Details: View Download Statistic

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