In this paper we present numerical methods - finite differences and finite
elements - for solution of partial differential equation of fractional order in
time for one-dimensional space. This equation describes anomalous diffusion
which is a phenomenon connected with the interactions within the complex and
non-homogeneous background. In order to consider physical initial-value
conditions we use fractional derivative in the Caputo sense. In numerical
analysis the boundary conditions of first kind are accounted and in the final
part of this paper the result of simulations are presented.Comment: 5 pages, 2 figures, CMM 2003 Conference Gliwice/Wisla Polan