Inverse Problem for an Equation of the Reaction-Diffusion-Advection Type with Data on the Position of a Reaction Front: Features of the Solution in the Case of a Nonlinear Integral Equation in a Reduced Statement

Inverse Problem for an Equation of the Reaction-Diffusion-Advection Type with Data on the Position of a Reaction Front: Features of the Solution in the Case of a Nonlinear Integral Equation in a Reduced Statement

The paper considers the features of numerical reconstruction of the advection coefficient when solving the coefficient inverse problem for a nonlinear singularly perturbed equation of the reaction-diffusion-advection type. Information on the position of a reaction front is used as data of the invers...

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Bibliographic Details
Main Authors: Raul Argun, Alexandr Gorbachev, Natalia Levashova, Dmitry Lukyanenko
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Mathematics
Subjects:
coefficient inverse problem
reaction-diffusion-advection equation
singularly perturbed problem
inverse problem with data on the position of a reaction front
Online Access:https://www.mdpi.com/2227-7390/9/18/2342

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