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Convergence of the grid method for the Fredholm equation of the first kind with Tikhonov regularization
Journal: Discrete and Continuous Models and Applied Computational Science (Vol.31, No. 2)Publication Date: 2023-06-30
Authors : Aleksandr Belov;
Page : 120-127
Keywords : ill-posed problems; grid method; regularization;
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Abstract
The paper describes a grid method for solving an ill-posed problem for the Fredholm equation of the first kind using the A. N. Tikhonov regularizer. The convergence theorem for this method was formulated and proved. A procedure for thickening grids with a simultaneous increase in digit capacity of calculations is proposed.
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Last modified: 2023-07-03 05:47:00