Numerical solution of singularly perturbed delay differential equations with layer behavior
type: Item
instance of: scholarly article
title: Numerical solution of singularly perturbed delay differential equations with layer behavior
zbMATH Open document ID: 1474.65192
DOI: 10.1155/2014/731057
author: F. Akhavan Ghassabzade
author: Fateme Ghomanjani
author: Adem Kilicman
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We present a numerical method to solve boundary value problems (BVPs) for singularly perturbed differential-difference equations with negative shift. In recent papers, the term negative shift has been used for delay. The Bezier curves method can solve boundary value problems for singularly perturbed differential-difference equations. The approximation process is done in two steps. First we divide the time interval, into \(k\) subintervals; second we approximate the trajectory and control functions in each subinterval by Bezier curves. We have chosen the Bezier curves as piecewise polynomials of degree \(n\) and determined Bezier curves on any subinterval by \(n + 1\) control points. The proposed method is simple and computationally advantageous. Several numerical examples are solved using the presented method; we compared the computed result with exact solution and plotted the graphs of the solution of the problems.
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 65L11
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 7022967
Wikidata QID: Q59041008
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/731057
OpenAlex ID: W2020081299
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description: scientific article; zbMATH DE number 7022967