IDENTIFICATION OF THE DENSITY DEPENDENT COEFFICIENT IN AN INVERSE REACTION-DIFFUSION PROBLEM FROM A SINGLE BOUNDARY DATA

Ramazan Tinaztepe, Salih Tatar, S Uleyman, Ulusoy
2014 Electronic Journal of Differential Equations   unpublished
This study is devoted to the numerical solution of an inverse coefficient problem for a density dependent nonlinear reaction-diffusion equation. The method is based on approximating the unknown coefficient by polynomi-als. An optimal idea for solving the inverse problem is to minimize an error functional between the output data and the additional data. For this purpose, we find a polynomial of degree n that minimizes the error functional; i.e, n th degree polynomial approximation of the unknown
more » ... tion of the unknown coefficient for the desired n.
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