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A new fourth-order embedded method based on the harmonic mean

Yaacob, Nazeeruddin and Sanugi, Bahrom (1998) A new fourth-order embedded method based on the harmonic mean. Matematika, 14 (2). pp. 1-6. ISSN 0127-8274

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Abstract

In this paper we formulate an embedded method based on harmonic and arithmetic means of order 4. This method together with RK-Harmonic scheme may be used to estimate the solutions of initial value problems. The absolute stability region of this scheme is also studied and we conclude with a numerical example to justify the effectiveness of the method

Item Type:Article
Uncontrolled Keywords:Harmonic Mean, Runge-Kutta method, stability, error control
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:2413
Deposited By: Associate Professor Dr Nazeeruddin Yaacob
Deposited On:31 Jul 2007 03:56
Last Modified:25 Jun 2010 01:05

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