Solving Delay Differential Equations of Small and Vanishing Lag Using Multistep Block Method
Joint Authors
Abdul Aziz, Nurul Huda
Ismail, Fudziah
Abdul Majid, Zanariah
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper considers the numerical solution of delay differential equations for solving the problem of small and vanishing lag using multistep block method.
This problem arises when the size of a delay value is smaller than the step size, x-τ The proposed approach that is based on interpolation of Newton divided difference has been implemented by adapting this problem to the multistep block method. In order to achieve the required accuracy, this approach considered the appropriate degree of interpolation polynomial in approximating the solution of delay term. The developed code for solving small and vanishing lag is done using C program and we called it as DDEB5. The P-stability and Q-stability of this method are also studied. Numerical results are presented and compared to the existing method in order to illustrate the efficiency of the proposed method.
American Psychological Association (APA)
Abdul Aziz, Nurul Huda& Abdul Majid, Zanariah& Ismail, Fudziah. 2014. Solving Delay Differential Equations of Small and Vanishing Lag Using Multistep Block Method. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1039662
Modern Language Association (MLA)
Abdul Aziz, Nurul Huda…[et al.]. Solving Delay Differential Equations of Small and Vanishing Lag Using Multistep Block Method. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1039662
American Medical Association (AMA)
Abdul Aziz, Nurul Huda& Abdul Majid, Zanariah& Ismail, Fudziah. Solving Delay Differential Equations of Small and Vanishing Lag Using Multistep Block Method. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1039662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039662