Modified Spline Polynomial for Solving Nonlinear Thin Film Flow and Three Dimensional Hybrid Non-Fluid Flow.

In this paper, we consider the nonlinear thin film flow and three dimensional hybrid fluid flows over a non-linear stretching sheet are solved numerically using the quartic spline methods. The obtained results are compared through tables and illustrative graphs with the exact solution and numerical solutions are shown. Further, the effect of the numerical techniques for solving the second order thin film flow and non-linear system of hybrid parameter on the obtained by the spline methods, velocity and shear stress profiles is presented through tables and illustrative graphs. [ABSTRACT FROM AUTHOR]