A collocation method for Fredholm integral equations of the first kind via iterative regularization scheme
Abstract
To 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.
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ill-posed problems, iterative regularization scheme, Legendre collocation method, integral equations of the first kindHow to Cite
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Copyright (c) 2023 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2023 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.