Application of the homotopy perturbation method for the Fokker–Planck equation
Makaleler > Tam Makale · 2008
Yazarlar: Ahmet YILDIRIM
International Journal for Numerical Methods in Biomedical Engineering, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2008, cilt 26, ss 1144-1154
DOI: 10.1002/cnm.1200
Özet
Abstract In 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.