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A Four Point Block Integration Method for the Solutions of IVP in ODE

Anake, T. A. and Adoghe, Lawrence O. (2013) A Four Point Block Integration Method for the Solutions of IVP in ODE. Australian Journal of Basic and Applied Sciences, 7 (10). pp. 467-473. ISSN 1991-8178

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Abstract

A one step block integration method for initial value problems of general second order ordinary differential equations which combine the Runge-Kutta type one step procedure and the Adam’s type multistep procedure is proposed in this paper. Convergence of this sixth order method is established by the consistency and zero stability properties. The method is also characterized by the region of absolute stability. Comparison with existing methods obtained with step number k>1 shows that the new method is comparatively accurate.

Item Type: Article
Uncontrolled Keywords: Convergence, Zero stability, hybrid, offgrid point, implicit, block method
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mr Solomon Bayoko
Date Deposited: 14 Nov 2014 10:48
Last Modified: 14 Nov 2014 10:48
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/2969

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