Iterative Methods for Solving Non-linear Fokker-Planck Equation

In this paper, a nonlinear Fokker-Planck equation is solved by using the modified Adomian decomposition method (MADM), variational iteration method (VIM) and homotopy analysis method (HAM). For each method, the approximate solution of this equation is calculated in the form of the series which its components are computed by a recursive relation. In some theorems, the uniqueness of the solution (if it exists) and the convergence of the proposed methods are proved. Finally, a numerical example is solved to demonstrate the accuracy of the mentioned methods