Homotopy Analysis Sumudu Transform Method for Nonlinear Equations

In this paper, we propose a new approximate method, namely homotopy analysis sumudu transform method (HASTM) to solve various linear and nonlinear Fokker-Planck equations. The homotopy analysis sumudu transform method is a combined form of the sumudu transform method and the homotopy analysis method. The proposed technique finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The results obtained by the proposed method show that the approach is very efficient, simple and can be applied to other nonlinear problems.