The Average Sentinel of the Heat Equation with an Unknown Reaction-Reference-Cited by-同舟云学术

The Average Sentinel of the Heat Equation with an Unknown Reaction

Published:2024-02-19 Issue:2 Volume:13 Page:128
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Selatnia Houria¹^ORCID,Ayadi Abdelhamid²,Rezzoug Imad²^ORCID

Affiliation:

1. Mathematics Department, Science and Technology Faculty, Mohamed-Cherif Messaadia Souk Ahras University, Souk Ahras 41000, Algeria

2. Department of Mathematics and Computer Science, Larbi Ben M’hidi University, Oum El Bouaghi 04000, Algeria

Abstract

In this paper, we analyze the identification of the amount of pollutant discharged problem by each source in a heat system when the dynamics of the state are governed by a parameterized unknown operator. In this way, we introduce the notion of average sentinel. The decomposition method is used to solve the equation of this problem, the gradient method is used to calculate the averaged control, and the combination of the two methods is used to estimate the pollution terms. Numerical example is given to confirm this result.

Funder

Directorate-General for Scientific Research and Technological Development

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/2/128/pdf

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