Convergence of the Grid Method for the Fredholm Equation of the First Kind with Tikhonov Regularization

Discrete and continuous models and applied computational science（2023）

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摘要

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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关键词

ill-posed problems,grid method,regularization

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