A collocation finite element method for solving fractional diffusion equation for force-free case is considered. In this paper, we develop an approximation method based on collocation finite elements by cubic B-spline functions to solve fractional diffusion equation for force-free case formulated with Riemann-Liouville operator. Some numerical examples of interest are provided to show the accuracy of the method. A comparison between exact analytical solution and a numerical one has been made.
C1 [Tasbozan, O.; Esen, A.; Yagmurlu, N. M.; Ucar, Y.] Inonu Univ, Fac Art & Sci, Dept Math, TR-44280 Malatya, Turkey.