Numerical Solution of Piecewise Constant Delay Systems Based on a Hybrid Framework
Joint Authors
Hajiabdolrahmani, S.
Marzban, Hamid Reza
Source
International Journal of Differential Equations
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-29
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
An efficient numerical scheme for solving delay differential equations with a piecewise constant delay function is developed in this paper.
The proposed approach is based on a hybrid of block-pulse functions and Taylor’s polynomials.
The operational matrix of delay corresponding to the proposed hybrid functions is introduced.
The sparsity of this matrix significantly reduces the computation time and memory requirement.
The operational matrices of integration, delay, and product are employed to transform the problem under consideration into a system of algebraic equations.
It is shown that the developed approach is also applicable to a special class of nonlinear piecewise constant delay differential equations.
Several numerical experiments are examined to verify the validity and applicability of the presented technique.
American Psychological Association (APA)
Marzban, Hamid Reza& Hajiabdolrahmani, S.. 2016. Numerical Solution of Piecewise Constant Delay Systems Based on a Hybrid Framework. International Journal of Differential Equations،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1105723
Modern Language Association (MLA)
Marzban, Hamid Reza& Hajiabdolrahmani, S.. Numerical Solution of Piecewise Constant Delay Systems Based on a Hybrid Framework. International Journal of Differential Equations No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1105723
American Medical Association (AMA)
Marzban, Hamid Reza& Hajiabdolrahmani, S.. Numerical Solution of Piecewise Constant Delay Systems Based on a Hybrid Framework. International Journal of Differential Equations. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1105723
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1105723