Bezier curves based numerical solutions of delay systems with inverse time
type: Item
instance of: scholarly article
title: Bezier curves based numerical solutions of delay systems with inverse time
zbMATH Open document ID: 1407.65071
DOI: 10.1155/2014/602641
author: Xianqiang Yang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper applied, for the first time, the Bernstein's approximation on delay differential equations and delay systems with inverse delay that models these problems. The direct algorithm is given for solving this problem. The delay function and inverse time function are expanded by the Bézier curves. The Bézier curves are chosen as piecewise polynomials of degree \(n\), and the Bézier curves are determined on any subinterval by \(n + 1\) control points. The approximated solution of delay systems containing inverse time is derived. To validate accuracy of the present algorithm, some examples are solved.
Mathematics Subject Classification ID: 65L03
zbMATH DE Number: 7016829
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/602641
OpenAlex ID: W2005541527
Wikidata QID: Q59066431
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description: scientific article; zbMATH DE number 7016829