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BIRS Workshop Lecture Videos

On a fractional spline collocation-Galerkin method for a fractional diffusion equatio Pitolli, Francesca

Description

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.

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