Optimal Homotopy Analysis Methods for Solving the Linear and Nonlinear Fokker-Planck Equationsa

Pathak, Shreekant P. and Singh, Twinkle (2015) Optimal Homotopy Analysis Methods for Solving the Linear and Nonlinear Fokker-Planck Equationsa. British Journal of Mathematics & Computer Science, 7 (3). pp. 209-217. ISSN 22310851

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Abstract

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).

Item Type: Article
Subjects: Oalibrary Press > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 13 Jun 2023 04:20
Last Modified: 29 Jan 2024 06:00
URI: http://asian.go4publish.com/id/eprint/2275

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