Numerical solution of some inverse problems for time-dependent kinetic equations which involve scattering term

The main purpose of this thesis is to investigate numerical solution of some inverse problems for time-dependent kinetic equations which involve scattering term. In this context, firstly, an inverse problem for the Liouville equation is considered, the solvability conditions are examined and the numerical solution is obtained by the finite difference method. Next, the existence and uniqueness of the solution of the inverse problem for a general kinetic equation which involves a scattering term are investigated in suitable spaces and this problem is solved numerically by means of the finite difference method and the trapezoid method. The obtained results are presented comparatively with graphs and tables.