Stability Analysis of Extended One-Step Schemes for Stiff and Non-Stiff Delay Differential Equations

Authors

F. Ibrahim, Institut f¨ur Angewandte Mathematik, LS III, TU Dortmund, Vogelpothsweg 87, Dortmund, Germany\\ Department of Mathematics, Faculty of Science, South Valley University, Qena 83523 , EgyptFollow
F. A. Rihan, Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain, 15551, UAEFollow
S. Turek, Institut f¨ur Angewandte Mathematik, LS III, TU Dortmund, Vogelpothsweg 87, Dortmund, GermanyFollow

Author Country (or Countries)

Egypt

Abstract

Herein, we provide a reliable and stable computational technique, based on a class of extended one-step methods for solving delay differential equations with constant and variable delays. Numerical stability properties of the schemes are investigated. The schemes are suitable for stiff and non-stiff problems. Numerical results and simulations are presented to demonstrate the effectiveness of the methodology.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100509

Recommended Citation

Ibrahim, F.; A. Rihan, F.; and Turek, S. (2016) "Stability Analysis of Extended One-Step Schemes for Stiff and Non-Stiff Delay Differential Equations," Applied Mathematics & Information Sciences: Vol. 10: Iss. 5, Article 9.
DOI: http://dx.doi.org/10.18576/amis/100509
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss5/9