Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations

We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solutions for several applications including the pantog...

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Detalles Bibliográficos
Autores principales: Căruntu, Bogdan, Bota, Constantin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4134833/
https://www.ncbi.nlm.nih.gov/pubmed/25152920
http://dx.doi.org/10.1155/2014/631416
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author Căruntu, Bogdan
Bota, Constantin
author_facet Căruntu, Bogdan
Bota, Constantin
author_sort Căruntu, Bogdan
collection PubMed
description We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solutions for several applications including the pantograph equations and a nonlinear time-delay model from biology. The accuracy of the method is illustrated by a comparison with approximate solutions previously computed using other methods.
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spelling pubmed-41348332014-08-24 Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations Căruntu, Bogdan Bota, Constantin ScientificWorldJournal Research Article We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solutions for several applications including the pantograph equations and a nonlinear time-delay model from biology. The accuracy of the method is illustrated by a comparison with approximate solutions previously computed using other methods. Hindawi Publishing Corporation 2014 2014-07-24 /pmc/articles/PMC4134833/ /pubmed/25152920 http://dx.doi.org/10.1155/2014/631416 Text en Copyright © 2014 B. Căruntu and C. Bota. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Căruntu, Bogdan
Bota, Constantin
Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations
title Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations
title_full Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations
title_fullStr Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations
title_full_unstemmed Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations
title_short Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations
title_sort analytical approximate solutions for a general class of nonlinear delay differential equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4134833/
https://www.ncbi.nlm.nih.gov/pubmed/25152920
http://dx.doi.org/10.1155/2014/631416
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