A Numerical Solution to Fractional Diffusion Equation for Force-Free Case

الملخص EN

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.