Quintic C1-spline Collocation methods for neutral delay differential equations
Abstract
An efficient numerical method based on a quintic spline collocation is proposed for the numerical solution of neutral delay differential equations (NDDEs). The convergence analysis is given and the method is shown to have fifth-order convergence. Finally, numerical results for two nonlinear examples are given to illustrate the efficiency of our method.
Copyright © 2013 H.M. El-Hawary, K.A. El-Shami. 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
H. M. El-Hawary, K. A. El-Shami, Quintic C1-spline Collocation methods for neutral delay differential equations, J. Math. Comput. Sci. 3 (2013), 456–465.
BibTeX
@article{El-Hawary2013,
author = {El-Hawary, H.M. and El-Shami, K.A.},
title = {Quintic C1-spline Collocation methods for neutral delay differential equations},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {456--465},
doi = {}
}