Splitting over physical parameters of the driven thin film equation and its numerical solution

In this thesis, an original method having some advantages over the main problem has been proposed for the numerical solution of fourth dimensional degenerate parabolic equation with Cauchy condition, describing thin film equation. At first the thin film equation is split over physical parameters. To find the numerical solution for this equations, a special auxiliary problem with some advantages over the main problem has been introduced and algorithms that describe all of the physical properties of the problem were created by using this auxiliary problem. Finally, in order to demonstrate the effectiveness of the proposed method, some computer tests are conducted for the equations obtained in the second chapter with convective and diffusion terms.