Mathematical modelling of thermal processes in materials at irradiation by ions with high energies

In the work one of the methods of numerical solution of the equations of mathematical physics -the finite-difference method and its application for the equations of thermal spike model has been presented. The numerical analysis of convergence of an explicit finite-difference computational scheme and alternating direction method is carried out, and also the efficiency and deficiencies of these schemes are explored. The obtained results of investigation of thermal processes in nickel at irradiation by uranium ions of with the energy 700 MeV with consideration of power losses on phonon oscillations are represented. The sizes of areas in the target, where temperature exceeds the melting point of a material of the target and phase changes can take place, the are estimated. A comparative analysis with the model that does not take into account the energy losses of a heavy ion on phonon oscillations is made.