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Identification of source terms in heat equation with dynamic boundary conditions.
- Source :
-
Mathematical Methods in the Applied Sciences . 3/15/2022, Vol. 45 Issue 4, p2364-2379. 16p. - Publication Year :
- 2022
-
Abstract
- We study an inverse parabolic problem of identifying two source terms in heat equation with dynamic boundary conditions from a final time overdetermination data. Using a weak solution approach by Hasanov, the associated cost functional is analyzed, especially a gradient formula of the functional is proved and given in terms of the solution of an adjoint problem. Next, the existence and uniqueness of a quasi‐solution are also investigated. Finally, the numerical reconstruction of some heat sources in a 1‐D equation is presented to show the efficiency of the proposed algorithm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HEAT equation
*INVERSE problems
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 45
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 155106573
- Full Text :
- https://doi.org/10.1002/mma.7933