On a parabolic partial differential equation and system modeling a production planning problem

We consider a parabolic partial differential equation and system derived from a production planning problem dependent on time. Our goal is to find a closed-form solution for the problem considered in our model. Our new theoretical results can be applied in the real world.

Bibliographic Details
Main Author: Dragos-Patru Covei
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022070?viewType=HTML
_version_ 1811344588499058688
author Dragos-Patru Covei
author_facet Dragos-Patru Covei
author_sort Dragos-Patru Covei
collection DOAJ
description We consider a parabolic partial differential equation and system derived from a production planning problem dependent on time. Our goal is to find a closed-form solution for the problem considered in our model. Our new theoretical results can be applied in the real world.
first_indexed 2024-04-13T19:49:31Z
format Article
id doaj.art-ca6ecf29a09243bb9d30374ddf1833dc
institution Directory Open Access Journal
issn 2688-1594
language English
last_indexed 2024-04-13T19:49:31Z
publishDate 2022-03-01
publisher AIMS Press
record_format Article
series Electronic Research Archive
spelling doaj.art-ca6ecf29a09243bb9d30374ddf1833dc2022-12-22T02:32:36ZengAIMS PressElectronic Research Archive2688-15942022-03-013041340135310.3934/era.2022070On a parabolic partial differential equation and system modeling a production planning problemDragos-Patru Covei 0Department of Applied Mathematics, The Bucharest University of Economic Studies, Piata Romana, 1st district, postal code: 010374, postal office: 22, RomaniaWe consider a parabolic partial differential equation and system derived from a production planning problem dependent on time. Our goal is to find a closed-form solution for the problem considered in our model. Our new theoretical results can be applied in the real world.https://www.aimspress.com/article/doi/10.3934/era.2022070?viewType=HTMLnumerical approximationasymptotic behaviorclosed solutionparabolic equationparabolic system
spellingShingle Dragos-Patru Covei
On a parabolic partial differential equation and system modeling a production planning problem
Electronic Research Archive
numerical approximation
asymptotic behavior
closed solution
parabolic equation
parabolic system
title On a parabolic partial differential equation and system modeling a production planning problem
title_full On a parabolic partial differential equation and system modeling a production planning problem
title_fullStr On a parabolic partial differential equation and system modeling a production planning problem
title_full_unstemmed On a parabolic partial differential equation and system modeling a production planning problem
title_short On a parabolic partial differential equation and system modeling a production planning problem
title_sort on a parabolic partial differential equation and system modeling a production planning problem
topic numerical approximation
asymptotic behavior
closed solution
parabolic equation
parabolic system
url https://www.aimspress.com/article/doi/10.3934/era.2022070?viewType=HTML
work_keys_str_mv AT dragospatrucovei onaparabolicpartialdifferentialequationandsystemmodelingaproductionplanningproblem