International Journal of applied mathematics and computer science

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Paper details

Number 1 - March 2020
Volume 30 - 2020

Input reconstruction by feedback control for the Schlögl and Fitzhugh–Nagumo equations

Vyacheslav Maksimov, Fredi Trlötzsch

Abstract
Dynamical reconstruction of unknown time-varying controls from inexact measurements of the state function is investigated for a semilinear parabolic equation with memory. This system includes as particular cases the Schlögl model and the FitzHugh–Nagumo equations. A numerical method is suggested that is based on techniques of feedback control. An error analysis is performed. Numerical examples confirm the theoretical predictions.

Keywords
semilinear parabolic equation, input reconstruction

DOI
10.34768/amcs-2020-0001