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International Journal for Numerical Methods in Biomedical Engineering
Article . 2010 . Peer-reviewed
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zbMATH Open
Article . 2010
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Application of the homotopy perturbation method for the Fokker–Planck equation

Application of the homotopy perturbation method for the Fokker -- Planck equation
Authors: Yildirim, Ahmet;

Application of the homotopy perturbation method for the Fokker–Planck equation

Abstract

AbstractIn this paper, we will discuss the solution of an initial value problem of parabolic type. The main objective is to propose an alternative method of solution, one not based on finite difference or finite element or spectral methods. The aim of the present paper is to investigate the application of the Homotopy perturbation method (HPM) for solving the Fokker–Planck equation and some similar equations. This method is a powerful tool for solving various kinds of problems. Employing this technique, it is possible to find the exact solution or an approximate solution of the problem. The results show applicability, accuracy and efficiency of HPM in solving nonlinear differential equations. It is predicted that HPM can be widely applied in science and engineering problems. Copyright © 2008 John Wiley & Sons, Ltd.

Country
Turkey
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Keywords

He's homotopy perturbation method, nonlinear phenomena, Fokker-Planck equation, Kolmogorov equation, initial value problem, Fokker-Planck equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
39
Top 10%
Top 10%
Top 10%
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