Extended One-Step Methods for Solving Delay- Differential Equations

Authors

F. Ibrahim, Institut f¨ur Angewandte Mathematik, LS III, TU Dortmund, Vogelpothsweg 87, 44227 Dortmund, Gemany\\ Department of Mathematics, Faculty of Science, South Valley University, Qena 83523 , EgyptFollow
A. A. Salama
A. Ouazzi
S. Turek

Author Country (or Countries)

Egypt

Abstract

We discuss extended one-step methods of order three for the numerical solution of delay-differential equations. A convergence theorem and the numerical studies regarding the convergence factor of these methods are given. Also, we investigate the stability properties of these methods. The results of the theoretical studies are illustrated by numerical examples.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080302

Recommended Citation

Ibrahim, F.; A. Salama, A.; Ouazzi, A.; and Turek, S. (2014) "Extended One-Step Methods for Solving Delay- Differential Equations," Applied Mathematics & Information Sciences: Vol. 08: Iss. 3, Article 2.
DOI: http://dx.doi.org/10.12785/amis/080302
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss3/2