In this paper, we present a numerical solution to an ordinary differentialequation of a fractional order in one-dimensional space. The solution to thisequation can describe a steady state of the process of anomalous diffusion. Theprocess 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 equationwith the Riesz-Feller fractional derivative. In the final part of this paper,same simulation results are shown. We present an example of non-lineartemperature profiles in nanotubes which can be approximated by a solution tothe fractional differential equation.
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