Title: Approximate solution for Fokker-Planck equation
Author(s):

	M.T. Araujo (Instituto de Biociências, Letras e Ciências Exatas, UNESP - Univesidade Estadual Paulista, 2265 Cristóvêo Colombo St., 15054-000, Sêo José do Rio Preto/SP, Brazil; Institut für Physik, Universität Augsburg , Universitätsstr. 1, D-86135, Augsburg, Germany ) ,
	E. Drigo Filho (Instituto de Biociências, Letras e Ciências Exatas, UNESP - Univesidade Estadual Paulista, 2265 Cristóvêo Colombo St., 15054-000, Sêo José do Rio Preto/SP, Brazil; Departamento de Física Teórica, Atómica y Óptica, and IMUVA (Instituto de Matemáticas), Universidad de Valladolid, 47011 Valladolid, Spain)

In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schrödinger type equation with a partially confining and symmetrical potential. To estimate the accuracy of the solution, a function error obtained from the original Fokker-Planck equation is suggested. Two examples, a truncated harmonic potential and non-harmonic polynomial, are analyzed using the proposed method. For the truncated harmonic potential, the system behavior as a function of temperature is also discussed.

Key words: Fokker-Planck equation, Schrödinger equation, approximate solution
PACS: 05.10.Gg, 02.30.Mv

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