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An A(α)-Stable Method for Solving Initial Value Problems of Ordinary Differential Equations

Anake, T. A. and Bishop, S.A. and Adesanya, A.O. and Agarana, M. C. (2014) An A(α)-Stable Method for Solving Initial Value Problems of Ordinary Differential Equations. Advances in Differential Equations and Control Processes. pp. 1-15.

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Abstract

An A(α)-stable implicit one step hybrid method for the numerical approximation of solutions of initial value problems of general second order ordinary differential equations is proposed. The method is developed by interpolation and collocation of a power series approximate solution and implemented as simultaneous integrators via block method. The stability and convergence of the methods are determined. Numerical experiments are conducted on sample problems and the absolute error estimates of the results are presented.

Item Type: Article
Uncontrolled Keywords: implicit, collocation, interpolation, approximation, stability, convergence.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mr Solomon Bayoko
Date Deposited: 04 Nov 2014 14:48
Last Modified: 04 Nov 2014 14:48
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/2904

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