Application of multiprocessor systems to solving the two-dimensional convolution-type Fredholm integral equations of the first kind for vector-functions

Some features of numerical solving the convolution-type Fredholm integral equations of the first kind for vector-functions with the use of multiprocessor systems are considered. The Tikhonov regularization is applied for solving this ill-posed problem. The Tikhonov functional's extremal is found using the two-dimensional discrete Fourier transform. The choice of the regularization parameter is performed according to the generalized discrepancy principle. Several parallelization schemes are proposed to solve this problem; the efficiency of these schemes is shown.