Abstract
In this paper we used the newly developed optimal approach namely
Optimal Auxilary Function Method (OAFM) for the solution of the
Falkner-Skan equation with heat transfer. The constitutive equations
obtained from Navier-Stokes equations are converted into a set of
nonlinear Ordinary Differential Equations (ODEs) with the help of a
similarity transformation. For the solution of the obtained ODEs with
boundary conditions is solved by OAFM. The OAFM along with convergence
is studied in detail. The effects of the physical parameters are
discussed with the help of tabular data and graphs. The reliability and
effectiveness of the method is achieved by comparing the results
available in the literature.