• HOMOTOPY ANALYSIS METHOD AND FOKKER-PLANCK EQUATION

V. G. Gupta, Sumit Gupta*

Abstract


Here, an analytical technique, namely the homotopy analysis method (HAM), is applied to solve various linear and nonlinear Fokker-Planck equations. HAM is strong and easy-to-use analytical tool for nonlinear problem and does not need small parameters in the equations. Comparison of the results with those of Adomain decomposition method (ADM) and Homotopy perturbation method (HPM), has led just us to significant consequences. The homotopy analysis method contains the auxiliary parameter , which provides us with a simple way to adjust and control the convergence region of solution series.

Keywords


Homotopy analysis method, Fokker-Planck equation, Kolmogorov equation, approximate solution, exact solution.

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