Numerical Solutions of Systems of Neutral Delay Differential- Algebraic Equations

Authors

  • Suliman Mahmoud
  • Mohamad Ali
  • Bashar Gdeed

Abstract

This paper studies the numerical stability of spline collocation technique for finding the numerical solutions of neutral delay algebraic differential equations (DDEs). The conditions necessary to ensure the widest areas of p-stability of the proposed numerical technique are determined when they are applied to a test problem.

The numerical study of convergence shows that the numerical technique proposed when applied to the test of these equations was consistent and convergent from the order ninth.

The effectiveness of the proposed spline technique was verified by solving four standard problems in both linear and nonlinear cases. The results of numerical comparisons with some other methods indicate the superiority of our results and the most accurate ones.

 

 

Downloads

Published

2019-07-02

How to Cite

1.
Mahmoud S, Ali M, Gdeed B. Numerical Solutions of Systems of Neutral Delay Differential- Algebraic Equations. TUJ-BA [Internet]. 2019Jul.2 [cited 2024Nov.24];41(3). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/8820

Issue

Vol. 41 No. 3 (2019): العلوم الأساسية

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series  

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series   Publisher

 

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.