Homotopy perturbation method for nonlinear exponential boundary layer equation using Laplace transformation, He's polynomials and padé technology He's polynomials and padé technology

In this article, we proposed a new reliable combination of homotopy perturbation method, Laplace transformation and Padé approximation to obtain the series solution of nonlinear exponential boundary layer equation. The propose method is called homotopy perturbation transform Padé method (HPTPM). The nonlinear term can easily be handled with the help of He's polynomials based on homotopy perturbation method. The proposed method solve exponential boundary layer 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.