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Fifth order two derivative Runge-Kutta method with reduced function evaluations for solving IVPs


Citation

Senu, Norazak and Ahmad, Nur Amirah and Bachok @ Lati, Norfifah (2016) Fifth order two derivative Runge-Kutta method with reduced function evaluations for solving IVPs. International Journal of Mathematical and Computational Methods, 1. pp. 421-428. ISSN 2367-895X

Abstract

In this paper, the First Same As Last (FSAL) technique is implemented to Two Derivative Runge-Kutta method (TDRK) for the numerical integration of first order Initial Value Problems (IVPs). Using the FSAL property, a four stages fifth algebraic order TDRK method is constructed. Hence, the new method has three effective stages meaning that it has three function evaluations per step. It has two stages less compared with the classical Runge-Kutta for the same order. The stability of the method derived is analyzed. The numerical experiments are carried out to show the accuracy and efficiency of the method by comparing the derived method 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: International Association of Research and Science
Keywords: TDRK method; FSAL technique; IVPs; Explicit methods
Depositing User: Nabilah Mustapa
Date Deposited: 02 May 2017 08:06
Last Modified: 02 May 2017 08:06
URI: http://psasir.upm.edu.my/id/eprint/51872
Statistic Details: View Download Statistic

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