Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1200.65085
Y ild ir im, Ahmet
Application of the homotopy perturbation method for the Fokker -- Planck equation. (English)
[J] Int. J. Numer. Methods Biomed. Eng. 26, No. 9, 1144-1154 (2010). ISSN 2040-7939

Summary: We 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.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
35Q84

Keywords: He's homotopy perturbation method; nonlinear phenomena; Fokker-Planck equation; Kolmogorov equation; initial value problem

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]