A Collocation Method for Fredholm Integral Equations of the First Kind via Iterative Regularization Scheme

摘要

To solve the ill-posed integral equations, we use the regularized collo-cation method. This numerical method is a combination of the Legendre polyno-mials with non-stationary iterated Tikhonov regularization with fixed parameter. A theoretical justification of the proposed method under the required assumptions is detailed. Finally, numerical experiments demonstrate the efficiency of this method.