Inverse Problem of Recovering the Initial Condition for a Nonlinear Equation of the Reaction–Diffusion–Advection Type by Data Given on the Position of a Reaction Front with a Time Delay

Inverse Problem of Recovering the Initial Condition for a Nonlinear Equation of the Reaction–Diffusion–Advection Type by Data Given on the Position of a Reaction Front with a Time Delay

In this paper, approaches to the numerical recovering of the initial condition in the inverse problem for a nonlinear singularly perturbed reaction–diffusion–advection equation are considered. The feature of the formulation of the inverse problem is the use of additional information about the value...

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Bibliographic Details
Main Authors: Dmitry Lukyanenko, Tatyana Yeleskina, Igor Prigorniy, Temur Isaev, Andrey Borzunov, Maxim Shishlenin
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Mathematics
Subjects:
inverse problem of recovering the initial condition
reaction–diffusion–advection equation
inverse problem with data on the reaction front position
Online Access:https://www.mdpi.com/2227-7390/9/4/342

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