A thin film flow problem on a moving belt has been useful in scientific, engineering, biological and biomedical problems. A thin film flow velocity on a moving belt can be modeled by a nonlinear differential equation. The model is provides the film flow velocity in each thickness layers. In this research, a finite difference method and a Newton iterative method are used to approximate the solutions of the nonlinear thin fluid film flow velocity model. Their numerical simulations of a thin film flow velocity of a third grade fluid in on a moving belt with varied physical parameters are investigated. The proposed numerical techniques give good agreement approximated solutions in several moving belts speed levels.
