DENTIFICATION THE HEAT SOURCE DEPENDENT ON A SPATIAL VARIABLE, REGULARIZATION AND CONTROL OF NOISE LEVEL IN CASE PERTURBATION BY SPECTRAL TRUNCATION AND KRYLOV METHODS

This paper deals with regularization and noise level control of source depending only on the spatial variable in the heat equation. In this problem, the Krylov method is employed to get the regularization solution and control noise level in case perturbation. Various numerical tests are given to verify the efficiency of the proposed method and until what point the method resist at the perturbations