ON THE APPLICATION OF THE ADOMIAN DECOMPOSITION METHOD TO SOLVE NON-LINEAR BOUNDARY VALUE PROBLEMS OF A STEADY STATE FLOW OF A LIQUID FILM

Abstract

This paper shows the reliability of the Adomian Decomposition Method (ADM) for solving a non-linear boundary value problem in a steady state flow of a liquid film.  The solutions of the momentum and energy equations are solved through ADM and the results were compared with previously obtained results by the Homotopy Perturbation Method(HPM) and Hermite - Pade Approximation method (HPA).  It is observed that solutions obtained by the ADM takes the form of a convergent series that is capable of greatly reducing the size of computation and solve a large class of non-linear equations effectively and accurately.  The results of the boundary value problem are presented in tables and graphs.