Hybrid block predictor-hybrid block corrector for the solution of first-order ordinary differential equations

Adesanya A. Olaide, James A. Adewale, Joshua Sunday

Abstract


This paper considers the development of one step four, hybrid block method for the solution of first order initial value problems of ordinary differential equations. The method was developed by collocation and interpolation of power series approximate solution to generate a continuous implicit linear multistep method. Both the predictor and corrector are implemented in block method. The basic properties of the derived method are investigated and found to be convergent and the efficiency was tested on some numerical examples and found to give better approximation than the existing methods.

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Published: 2014-07-22

How to Cite this Article:

Adesanya A. Olaide, James A. Adewale, Joshua Sunday, Hybrid block predictor-hybrid block corrector for the solution of first-order ordinary differential equations, Engineering Mathematics Letters, Vol 2014 (2014), Article ID 13

Copyright © 2014 Adesanya A. Olaide, James A. Adewale, Joshua Sunday. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Engineering Mathematics Letters

ISSN 2049-9337

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