Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front

A new approach to the reconstruction of a boundary condition in an inverse problem for a nonlinear singularly perturbed reaction–diffusion–advection equation with data on the reaction front position is proposed. The problem is solved via gradient minimization of a cost functional with an initial app...

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Veröffentlicht in:	Computational mathematics and mathematical physics 2022-03, Vol.62 (3), p.441-451
Hauptverfasser:	Argun, R. L., Gorbachev, A. V., Lukyanenko, D. V., Shishlenin, M. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Advection Advection-diffusion equation Asymptotic methods Boundary conditions Computational Mathematics and Numerical Analysis Cost analysis Inverse problems Mathematical Physics Mathematics Mathematics and Statistics Reconstruction
Online-Zugang:	Volltext
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