Wave propagation on a surface of a thin film flow is studied from the model of lubrication theory, presented in a partial differential equation of the fluid thickness h. The numerical solution of the model can be found by a finite difference method of forward-time center-space after integrating the equation to reduce the order of the equation. The analysis of the solution indicates that the wave is damped in its propagation, and the method is stable for a certain condition for the discretization of the space and time. The simulation shows the deformation of the surface wave.

thin film flow, lubrication theory, finite difference method.