Study of Convergence of HAM and its Application on the Fokker-Planck Equation

In this paper we prove the convergence of homotopy analysis method (HAM) and present the application of the homotopy analysis method to obtain the exact analytical solution of the Fokker-Planck equation. In the current paper this scheme will be investigated in details and efficiency of the approach will be shown by applying the procedure on several interesting and important examples.