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A fifth order runge-kutta RK(5,5) method with error control


Evans, D. J. and Yaakub, A. R. (2002) A fifth order runge-kutta RK(5,5) method with error control. International Journal of Computer Mathematics, 79 (11). pp. 1179-1185. ISSN 0020-7160

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Abstract

In this paper a new Runge-Kutta RK(5, 5) method is introduced. The theory and analysis of its properties are investigated and compared with the more well known RKF(4, 5) and RK(4, 5) – Merson methods.

Item Type: Article
Uncontrolled Keywords: Runge-Kutta methods; Error control; Arithmetic mean; Contraharmonic mean
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: College of Arts and Sciences
Depositing User: Prof. Dr. Abd Razak Yaakub
Date Deposited: 21 Nov 2010 02:52
Last Modified: 21 Nov 2010 02:52
URI: http://repo.uum.edu.my/id/eprint/1572

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