Bechouat Tahar2023-09-142023-09-142023https://dspace.univ-soukahras.dz/handle/123456789/1724To solve the ill-posed integral equations, we use the regularized collocation method. This numerical method is a combination of the Legendre polynomials 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.enArticle