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Three Steps Hybrid Block Method for the Solution of General Second Order Ordinary Differential Equations

Adesanya, A.O. and Fasasi, M. Kolawole and Anake, T. A. (2013) Three Steps Hybrid Block Method for the Solution of General Second Order Ordinary Differential Equations. JP Journal of Applied Mathematics, 8 (1 & 2). pp. 1-11.

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Abstract

Block method is adopted in this paper for the direct solution of second order ordinary differential equations. The method is derived by collocation and interpolation of power series approximate solution to give a continuous hybrid linear multistep method which is implemented in block method to derive the independent solution at selected grid points. The properties of the derived scheme were investigated and found to be zero-stable, consistent and convergent. The efficiency of the derived method was tested and found to compare favourably with the existing methods.

Item Type: Article
Uncontrolled Keywords: collocation, interpolation approximate solution, block method, stability, zero stable, consistent, efficiency.
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 10:31
Last Modified: 14 Nov 2014 10:31
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/2968

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