A semi-analytic solution method for the Blasius equation

In this paper, a novel approach is given for solving the Blasius equations. This approach is mainly based on the homogeneous balance method and the functional exponentials. The validity and reliability of the method is verified by its application to Blasius equation. The fourth-order Runge-Kutta method is used to optimize the solution method. The obtained solutions are compared with the available exact solutions, in which a very good agreement is observed.

Keywords:

Blasius equation , Exact soloution , Rangekutta , Nonlinear ODE