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.
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Format: | Article |
Language: | English |
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AIMS Press
2022-03-01
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Series: | Electronic Research Archive |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022070?viewType=HTML |
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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 |