Skip to content
Engineering Mathematics Letters ISSN 2049-9337

Archives › Volume 2014 (2014)

Eng. Math. Lett. 2014 (2014), Article ID 13

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

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

PDF (136.3 KB)

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.

Published
22 July 2014
Volume
2014 (2014)
License
CC BY 3.0

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.

Cite this article

A. A. Olaide, J. A. Adewale, J. Sunday, Hybrid block predictor-hybrid block corrector for the solution of first-order ordinary differential equations, Eng. Math. Lett. 2014 (2014), 13.

BibTeX
@article{Olaide2014,
  author  = {Olaide, Adesanya A. and Adewale, James A. and Sunday, Joshua},
  title   = {Hybrid block predictor-hybrid block corrector for the solution of first-order ordinary differential equations},
  journal = {Eng. Math. Lett.},
  volume  = {2014},
  year    = {2014},
  pages   = {13},
  doi     = {}
}