Abstract
In this work, we have generalized the homotopy perturbation method (HPM) and we have shown that methods such as the spectral method, the Adomian decomposition method and the HPM are special cases of the new modified HPM of the present study. At last we apply the HPM to solve the Fokker–Planck equation. To illustrate the method some experiments are provided. The results reveal the efficiency and accuracy of the HPM. The HPM can obtain analytic form of the solution in some cases. The technique (HPM) has been applied with great success to obtain the solution of a large variety of nonlinear problems in both ordinary and partial differential equations, integral equations and integro-differential equations.
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