Open Access
2016 Numerical Solution of Piecewise Constant Delay Systems Based on a Hybrid Framework
H. R. Marzban, S. Hajiabdolrahmani
Int. J. Differ. Equ. 2016: 1-11 (2016). DOI: 10.1155/2016/9754906

Abstract

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.

Citation

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H. R. Marzban. S. Hajiabdolrahmani. "Numerical Solution of Piecewise Constant Delay Systems Based on a Hybrid Framework." Int. J. Differ. Equ. 2016 1 - 11, 2016. https://doi.org/10.1155/2016/9754906

Information

Received: 5 July 2016; Accepted: 22 November 2016; Published: 2016
First available in Project Euclid: 20 January 2017

zbMATH: 06915921
MathSciNet: MR3593596
Digital Object Identifier: 10.1155/2016/9754906

Rights: Copyright © 2016 Hindawi

Vol.2016 • 2016
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