Continuous two step hybrid block predictor-hybrid block corrector method for the solution of second order initial value problems of ordinary differential equations

Adesanya A. O., Fasansi, M. K., Ajileye, A. M.

Abstract


This paper considers the implementation of two steps, two hybrid points implemented in block predictor-block corrector method with constant step size. The method is developed using collocation and interpolation of power series approximate solution to give a continuous linear multistep method in which the predictor and corrector are implemented in block method. The basic properties of the corrector was investigated and found to be zero stable, consistent and convergent. The efficiency of the derived method was tested on some numerical examples and found to give better approximation than the existing methods.

Full Text: PDF

How to Cite this Article:

Adesanya A. O., Fasansi, M. K., Ajileye, A. M., Continuous two step hybrid block predictor-hybrid block corrector method for the solution of second order initial value problems of ordinary differential equations, Journal of Mathematical and Computational Science, Vol 3, No 4 (2013), 1153-1162

Copyright © 2013 Adesanya A. O., Fasansi, M. K., Ajileye, A. M.. 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.

J. Math. Comput. Sci.

ISSN: 1927-5307

Editorial Office: jmcs@scik.org

 

Copyright ©2018 JMCS