Homotopy perturbation Padé transform method for Blasius flow equation using He's polynomials

In this article, we propose a new reliable combination of Laplace transform and homotopy perturbation Padé method to obtain the series solution of famous Blasius flow equation. The propose method is called homotopy perturbation Padé transform method (HPPTM). The nonlinear term can easily be handled with the help of He's polynomials based on homotopy perturbation method. The proposed method solve Blasius flow equation without restrictions on the nonlinear behavior and use Padé approximants to accelerate the convergence of obtained series solution which can be considered as a significant features of the new algorithm over decomposition method.