Numerical solution of piecewise constant delay systems based on a hybrid framework
type: Item
instance of: scholarly article
title: Numerical solution of piecewise constant delay systems based on a hybrid framework
zbMATH Open document ID: 1487.65083
DOI: 10.1155/2016/9754906
author: S. Hajiabdolrahmani
author: H. R. Marzban
published in: International Journal of Differential Equations
publication date: 2018-08-10T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 34K99
zbMATH DE Number: 6915921
zbMATH Keywords: delay differential equations
zbMATH Keywords: piecewise constant delay function
zbMATH Keywords: hybrid of block-pulse functions
zbMATH Keywords: Taylor polynomials
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/9754906
OpenAlex ID: W2562814373
Wikidata QID: Q59124272
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description: scientific article; zbMATH DE number 6915921