  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 Schr\"{o}dinger 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.
