Two-step Laguerre polynomial hybrid block method for stiff and oscillatory first-order ordinary differential equations
Abstract
We develop a two-step hybrid block method for the solution of stiff and oscillatory first-order Ordinary Differential Equations (ODEs) using the Laguerre polynomial as our basis function via interpolation and collocation techniques. The paper further investigates the basic properties of the method and found it to be zero-stable, consistent and convergent. The method was also tested on some sampled stiff and oscillatory problems and found to perform better than some existing ones with which we compared our results.
Copyright © 2015 J. Sunday, F. M. Kolawole, E. A. Ibijola, R. B. Ogunrinde. 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, F. M. Kolawole, E. A. Ibijola, R. B. Ogunrinde, Two-step Laguerre polynomial hybrid block method for stiff and oscillatory first-order ordinary differential equations, J. Math. Comput. Sci. 5 (2015), 658–668.
BibTeX
@article{Sunday2015,
author = {Sunday, J. and Kolawole, F. M. and Ibijola, E. A. and Ogunrinde, R. B.},
title = {Two-step Laguerre polynomial hybrid block method for stiff and oscillatory first-order ordinary differential equations},
journal = {J. Math. Comput. Sci.},
volume = {5},
year = {2015},
pages = {658--668},
doi = {}
}