Analytic treatment of the Fokker-Planck Equation by the Elzaki Transform Method

Abstract

In this paper, we implement the Elzaki Transform Method (ETM) for the analytic treatment of the Fokker-Planck Equation (FPE). In this approach, the solution is given in a convergent series without any weak assumptions. Both linear and nonlinear FPE are considered for effective numerical stimulation via the computer application program maple 18 software. Resulting numerical evidences with the ETM for FPE were compared with the Variation Iteration Method (VIM).