Abstract
AbstractThis paper presents an efficient numerical approach for first-order delay differential equations containing a piece-wise constant delay. The strategy is based on a five-point hybrid block method that has been developed for ordinary differential equations. We will use the interpolation technique for the evaluation of delay terms that are not defined at the grid points. The main characteristics are discussed, including zero stability, local truncation errors, convergence and stability region. The method is easy to implement, and the numerical experiments show the efficiency and accuracy of the proposed method, compared to other methods appeared in the literature.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Reference20 articles.
1. Smith, H.L.: An Introduction to Delay Differential Equations with Applications to the Life Science. Springer, New York (2011)
2. Syam, M.I., Al-Refai, M.: A reliable methods for first order delay equations based on the implicit hybrid methods. Alexandria Eng. J. 59, 2677–2681 (2020)
3. Ismail, F., Al-Khasawneh, R.A., Aung, S.L., Suleiman, M.: Numerical treatment of delay differential equations by Runge-Kutta method using Hermite interpolation. MATHEMATIKA 18, 79–90 (2002)
4. Ogunfiditimi, F.O.: Numerical solution of delay differential equation using the Adomian decomposition method. Int. J. Eng. Sci. 5, 18–23 (2015)
5. Seong, H.Y., Majid, Z.A.: Solving second order delay differential equations using direct two-point block method. Ain Shams Eng. J. 8, 59–66 (2017)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献