On a fractional spline collocation-Galerkin method for a fractional diffusion equatio

We solve a fractional-time diffusion equation by a collocation-Galerkin method that uses the refinable spaces generated by the fractional B-splines as approximating spaces. The main advantage in using the fractional B-splines is in that their derivatives of both integer and fractional order can be expressed in a closed form that involves just the fractional difference operator. We analyze the performance of the method by solving some test problems.Non UBCUnreviewedAuthor affiliation: University of RomaFacult