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A One Step Method for the Solution of General Second Order Ordinary Differential Equations

Anake, T. A. and Awoyemi, D. O. and Adesanya, A. A. (2012) A One Step Method for the Solution of General Second Order Ordinary Differential Equations. International Journal of Science and Technology, 2 (4). pp. 159-163. ISSN 2224-3577

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Abstract

In this paper, an implicit one step method for the numerical solution of second order initial value problems of ordinary differential equations has been developed by collocation and interpolation technique. The introduction of an o step point guaranteed the zero stability and consistency of the method. The implicit method developed was implemented as a block which gave simultaneous solutions, as well as their rst derivatives, at both o step and the step point. A comparison of our method to the predictor-corrector method after solving some sample problems reveals that our method performs better.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mr Solomon Bayoko
Date Deposited: 20 Jan 2014 10:23
Last Modified: 20 Jan 2014 10:23
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/2042

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