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

Dragos-Patru Covei; Dragos-Patru Covei

doi:10.3934/era.2022070

Electronic Research Archive

2022, Volume 30, Issue 4: 1340-1353. doi: 10.3934/era.2022070

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

Dragos-Patru Covei ^,

Department of Applied Mathematics, The Bucharest University of Economic Studies, Piata Romana, 1st district, postal code: 010374, postal office: 22, Romania

Received: 15 October 2021 Revised: 13 January 2022 Accepted: 08 March 2022 Published: 18 March 2022

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.
- numerical approximation,
- asymptotic behavior,
- closed solution,
- parabolic equation,
- parabolic system
Citation: Dragos-Patru Covei. On a parabolic partial differential equation and system modeling a production planning problem[J]. Electronic Research Archive, 2022, 30(4): 1340-1353. doi: 10.3934/era.2022070

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Abstract

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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