Note on using radial basis functions and Tikhonov regularization method to solve an inverse heat conduction problem

In this note, a meshless numerical scheme for solving an inverse heat conduction problem (IHCP) is considered. The fundamental solution of heat equation is used as a radial basis function. Applying this radial basis function results in a badly ill-condition system of equations. The Tikhonov regularization method is employed for solving this system of equations. Determination of regularization parameter is based on L-curve technique. The numerical results demonstrate the accuracy and ability of this method.