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.
"A Numerical Solution to Fractional Diffusion Equation for Force-Free Case." Abstr. Appl. Anal. 2013 (SI50) 1 - 6, 2013. https://doi.org/10.1155/2013/187383