Closed solutions to a differential-difference equation and an associated plate solidification problem

Two distinct and novel formalisms for deriving exact closed solutions of a class of variable-coefficient differential-difference equations arising from a plate solidification problem are introduced. Thereupon, exact closed traveling wave and similarity solutions to the plate solidification problem a...

Descripción completa

Detalles Bibliográficos
Autores principales: Layeni, Olawanle P., Akinola, Adegbola P., Johnson, Jesse V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4975744/
https://www.ncbi.nlm.nih.gov/pubmed/27540506
http://dx.doi.org/10.1186/s40064-016-2915-9
_version_ 1782446764372000768
author Layeni, Olawanle P.
Akinola, Adegbola P.
Johnson, Jesse V.
author_facet Layeni, Olawanle P.
Akinola, Adegbola P.
Johnson, Jesse V.
author_sort Layeni, Olawanle P.
collection PubMed
description Two distinct and novel formalisms for deriving exact closed solutions of a class of variable-coefficient differential-difference equations arising from a plate solidification problem are introduced. Thereupon, exact closed traveling wave and similarity solutions to the plate solidification problem are obtained for some special cases of time-varying plate surface temperature.
format Online
Article
Text
id pubmed-4975744
institution National Center for Biotechnology Information
language English
publishDate 2016
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-49757442016-08-18 Closed solutions to a differential-difference equation and an associated plate solidification problem Layeni, Olawanle P. Akinola, Adegbola P. Johnson, Jesse V. Springerplus Research Two distinct and novel formalisms for deriving exact closed solutions of a class of variable-coefficient differential-difference equations arising from a plate solidification problem are introduced. Thereupon, exact closed traveling wave and similarity solutions to the plate solidification problem are obtained for some special cases of time-varying plate surface temperature. Springer International Publishing 2016-08-05 /pmc/articles/PMC4975744/ /pubmed/27540506 http://dx.doi.org/10.1186/s40064-016-2915-9 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Layeni, Olawanle P.
Akinola, Adegbola P.
Johnson, Jesse V.
Closed solutions to a differential-difference equation and an associated plate solidification problem
title Closed solutions to a differential-difference equation and an associated plate solidification problem
title_full Closed solutions to a differential-difference equation and an associated plate solidification problem
title_fullStr Closed solutions to a differential-difference equation and an associated plate solidification problem
title_full_unstemmed Closed solutions to a differential-difference equation and an associated plate solidification problem
title_short Closed solutions to a differential-difference equation and an associated plate solidification problem
title_sort closed solutions to a differential-difference equation and an associated plate solidification problem
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4975744/
https://www.ncbi.nlm.nih.gov/pubmed/27540506
http://dx.doi.org/10.1186/s40064-016-2915-9
work_keys_str_mv AT layeniolawanlep closedsolutionstoadifferentialdifferenceequationandanassociatedplatesolidificationproblem
AT akinolaadegbolap closedsolutionstoadifferentialdifferenceequationandanassociatedplatesolidificationproblem
AT johnsonjessev closedsolutionstoadifferentialdifferenceequationandanassociatedplatesolidificationproblem

Ejemplares similares