Application of parametric identification method and radial basis function networks for solution of inverse boundary value problems

Based on the parametric identification method and radial basis function networks, the meshfree approach to the solution of inverse coefficient problems of mathematical physics is proposed. For regularization of the solution, an iterative method is used where the number of iterations, determined by the norm of the residual, plays the role of the regulator. The effectiveness of the approach is confirmed by the example of inverse coefficient problems for elliptic equations.