Convergence of the grid method for the Fredholm equation of the first kind with Tikhonov regularization

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.

Keywords

• ill-posed problems
• grid method
• regularization