Simultaneous identification of the right-hand side and time-dependent coefficients in a two-dimensional parabolic equation

Autor:	Yashar T. Mehraliyev, Mousa J. Huntul, Elvin I. Azizbayov
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	inverse identification problem 2D parabolic equation Fourier method classical solution nonlinear optimization Tikhonov regularization Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 29, Iss 1 (2024)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2024.17974
Popis:	This paper investigates the simultaneous identification of time-dependent lowest and source terms in a two-dimensional (2D) parabolic equation from the additional measurements. To investigate the solvability of the inverse problem, we first examine an auxiliary inverse boundary value problem and prove its equivalence to the original problem in a certain sense. Then, applying the contraction mappings principle existence and uniqueness of the solution of an equivalent problem is proved. Furthermore, using the equivalency, the existence and uniqueness theorem for the classical solution of the original problem is obtained and some discussions on the numerical solutions for this inverse problem are presented including numerical examples.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f8eebdca5a6d45f4be8d0508abcff7ed Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF