Chebyshevian basis function-type block method for the solution of first-order initial value problems with oscillating solutions
Abstract
In this paper, we develop a block method using Chebyshev polynomial basis function and use it to produce discrete methods which are simultaneously applied as numerical integrators by assembling them into a block method. The paper further investigates the properties of the block method and found it to be zero-stable, consistent and convergent. We also tested the efficiency of the method on some sampled oscillatory problems and found out that the method performed better than some existing ones with which we compared our results.
Copyright © 2015 J. Sunday, A. A. James, M. R. Odekunle, A. O. Adesanya. 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, A. A. James, M. R. Odekunle, A. O. Adesanya, Chebyshevian basis function-type block method for the solution of first-order initial value problems with oscillating solutions, J. Math. Comput. Sci. 5 (2015), 462–472.
BibTeX
@article{Sunday2015,
author = {Sunday, J. and James, A. A. and Odekunle, M. R. and Adesanya, A. O.},
title = {Chebyshevian basis function-type block method for the solution of first-order initial value problems with oscillating solutions},
journal = {J. Math. Comput. Sci.},
volume = {5},
year = {2015},
pages = {462--472},
doi = {}
}