  In this paper, we present a numerical solution to an ordinary differential
equation of a fractional order in one-dimensional space. The solution to this
equation can describe a steady state of the process of anomalous diffusion. The
process arises from interactions within complex and non-homogeneous background.
We present a numerical method which is based on the finite differences method.
We consider a boundary value problem (Dirichlet conditions) for an equation
with the Riesz-Feller fractional derivative. In the final part of this paper,
same simulation results are shown. We present an example of non-linear
temperature profiles in nanotubes which can be approximated by a solution to
the fractional differential equation.
