A quarter-step computational hybrid block method for first-order modeled differential equations using Laguerre polynomial
Abstract
In this paper, we present the derivation and implementation of a new quarter-step computational hybrid block method for first-order modeled differential equations. The block method was developed using Laguerre polynomial of degree five as our basis function via interpolation and collocation techniques. We went further to apply the quater-step method developed on some modeled first order differential equations. The paper also analysed the basic properties of the method derived. From the results obtained, it is obvious that the method is computationally reliable.
- Published
- 13 May 2016
- Volume
- 2016 (2016)
- License
- CC BY 3.0
Copyright © 2016 J. Sunday, D. Yusuf, J. N. Andest. 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
J. Sunday, D. Yusuf, J. N. Andest, A quarter-step computational hybrid block method for first-order modeled differential equations using Laguerre polynomial, Eng. Math. Lett. 2016 (2016), 4.
BibTeX
@article{Sunday2016,
author = {Sunday, J. and Yusuf, D. and Andest, J. N.},
title = {A quarter-step computational hybrid block method for first-order modeled differential equations using Laguerre polynomial},
journal = {Eng. Math. Lett.},
volume = {2016},
year = {2016},
pages = {4},
doi = {}
}