Numerical Treatment of Delay-Differential Equations by Using Spline Hermite Approximations

Authors

  • Suliman Mahmoud
  • Mohamad Ali
  • Bashar Gdeed

Abstract

In this paper, spline technique with five collocation parameters for finding the numerical solutions of delay differential equations (DDEs) is introduced. The presented method is based on the approximating the exact solution by C4-Hermite spline interpolation and as well as five collocation points at every subinterval of DDE.The study shows that the spline solution of purposed technique is existent and unique and has strongly stable for some collocation parameters. Moreover, this method if applied to test problem will be consistent, p-stable and convergent from order nine .In addition ,it possesses unbounded region of p-stability. Numerical experiments for four examples are given to verify the reliability and efficiency of the purposed technique. Comparisons show that numerical results of our method are more accurate than other methods.

 

 

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Published

2018-09-30

How to Cite

1.
Mahmoud S, Ali M, Gdeed B. Numerical Treatment of Delay-Differential Equations by Using Spline Hermite Approximations. TUJ-BA [Internet]. 2018Sep.30 [cited 2024Apr.19];39(5). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/4005

Issue

Vol. 39 No. 5 (2017): Tishreen University Journal for Research and Scientific Studies - Basic Sciences Series

Section

Articles

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