Numerical solution for the Falkner–Skan equation

In this paper, an analysis is presented for the numerical solution of the Falkner–Skan equation. The nonlinear ordinary differential equation is solved using Adomian decomposition method (ADM). The condition at infinity will be applied to a related Padé approximation to the obtained series solution. By using MATHEMATICA™ Adomian polynomials and Padé approximation of the obtained series (ADM) solution have been calculated. From the computational viewpoint, the solutions obtained thus by the ADM and shooting method are in excellent agreement with those obtained by previous works and efficient to use.