Optimal Homotopy Analysis Methods for Solving the Linear and Nonlinear Fokker-Planck Equationsa
Shreekant P. Pathak, Twinkle Singh
Journal of Advances in Mathematics and Computer Science · pp. 209–217 · Published 14 Feb 2015
10.9734/BJMCS/2015/15230Abstract
In this paper, linear and nonlinear Fokker-Planck equations are solved by approximate method, namely Optimal homotopy analysis method (OHAM). The Optimal homotopy analysis method is a combination of the homotopy analysis method and optimizing the convergence control parameter by minimizing the square residual error. The mathematical calculation and graphics have been obtained. The results have been obtained by OHAM are matches with the exact results and other approximate method like, Adomian decomposition method (ADM), Variation iteration method (VIM) and Homotopy perturbation method (HPM).
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