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

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 polynomials. 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, nth degree polynomial approximation of the unknown coefficient for the desired n.