Abstract:
This article proposes a new iterative method for numerical solution of the convolution equation. A modification of this method for effective input data filtering is also performed. Variants of a stopping criterion for the chosen iterative algorithm are analyzed. We consider a class of problems for which this method is quite efficient. The results of numerical experiments are also presented in this paper.
Key words:iterative method, integral equation of convolution type, ill-posed problem, stopping criterion.