Simultaneous identification of two parameters on the reaction diffusion system from discrete measurement data

Abstract

This article deals with an inverse problem of reconstructing two time independent coefficients in the reaction diffusion system from the final time space discretized measurement using the optimization method with the help of the smooth interpolation technique. The main objective of the article is to analyse the asymptotic behavior of the solution of the inverse problem for the linearly coupled reaction diffusion system with respect to the homogeneous Dirichlet boundary condition.

Keywords

Inverse problem / Optimal control / Reaction diffusion systems / Asymptotic convergence

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