A COMPUTATIONAL APPROXIMATION FOR THE SOLUTION OF RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS TO SCIENCE AND ENGINEERING

Publication type:
Journal article
Metadata:
Autoren
  • Burcu Guerbuez
Autoren-URL
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000706663600001&DestLinkType=FullRecord&DestApp=WOS_CPL
DOI
10.3934/jimo.2021069
eISSN
1553-166X
Externe Identifier
  • Clarivate Analytics Document Solution ID: 2C0VJ
ISSN
1547-5816
Ausgabe der Veröffentlichung
4
Zeitschrift
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
Schlüsselwörter
  • Functional differential equations
  • Laguerre polynomial and series
  • ma-trix method
  • collocation points
  • error analysis
Paginierung
2319 - 2334
Datum der Veröffentlichung
2022
Status
Published
Titel
A COMPUTATIONAL APPROXIMATION FOR THE SOLUTION OF RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS TO SCIENCE AND ENGINEERING
Sub types
  • Article
Ausgabe der Zeitschrift
18

Data source: Web of Science (Lite)

Other metadata sources:
Abstract
<jats:p xml:lang="fr">&lt;p style='text-indent:20px;'&gt;Delay differential equations are of great importance in science, engineering, medicine and biological models. These type of models include time delay phenomena which is helpful for characterising the real-world applications in machine learning, mechanics, economics, electrodynamics and so on. Besides, special classes of functional differential equations have been investigated in many researches. In this study, a numerical investigation of retarded type of these models together with initial conditions are introduced. The technique is based on a polynomial approach along with collocation points which maintains an approximated solutions to the problem. Besides, an error analysis of the approximate solutions is given. Accuracy of the method is shown by the results. Consequently, illustrative examples are considered and detailed analysis of the problem is acquired. Consequently, the future outlook is discussed in conclusion.&lt;/p&gt;</jats:p>
Autoren
DOI
10.3934/jimo.2021069
eISSN
1553-166X
ISSN
1547-5816
Ausgabe der Veröffentlichung
4
Zeitschrift
Journal of Industrial and Management Optimization
Paginierung
2319 - 2319
Datum der Veröffentlichung
2022
Status
Published
Herausgeber
American Institute of Mathematical Sciences (AIMS)
Herausgeber URL
http://dx.doi.org/10.3934/jimo.2021069
Datum der Datenerfassung
2022
Titel
A computational approximation for the solution of retarded functional differential equations and their applications to science and engineering
Ausgabe der Zeitschrift
18

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