Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/11172
Title: Numerical approximation for the fractional diffusion equation via splines
Authors: Sousa, Ercília 
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-16 (2009)
Abstract: A one dimensional fractional diffusion model is considered, where the usual second-order derivative gives place to a fractional derivative of order , with 1 < ≤ 2. We consider the Caputo derivative as the space derivative, which is a form of representing the fractional derivative by an integral operator. The numerical solution is derived using Crank-Nicolson method in time combined with a spline approximation for the Caputo derivative in space. Consistency and convergence of the method is examined and numerical results are presented.
URI: http://hdl.handle.net/10316/11172
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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