Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms
Joint Authors
Bahşi, M. Mustafa
Çevik, Mehmet
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The pantograph equation is a special type of functional differential equations with proportional delay.
The present study introduces a compound technique incorporating the perturbation method with an iteration algorithm to solve numerically the delay differential equations of pantograph type.
We put forward two types of algorithms, depending upon the order of derivatives in the Taylor series expansion.
The crucial convenience of this method when compared with other perturbation methods is that this method does not require a small perturbation parameter.
Furthermore, a relatively fast convergence of the iterations to the exact solutions and more accurate results can be achieved.
Several illustrative examples are given to demonstrate the efficiency and reliability of the technique, even for nonlinear cases.
American Psychological Association (APA)
Bahşi, M. Mustafa& Çevik, Mehmet. 2015. Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1067041
Modern Language Association (MLA)
Bahşi, M. Mustafa& Çevik, Mehmet. Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms. Journal of Applied Mathematics No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1067041
American Medical Association (AMA)
Bahşi, M. Mustafa& Çevik, Mehmet. Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1067041
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067041