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https://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: | https://hdl.handle.net/10316/11172 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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Numerical approximation for the fractional diffusion.pdf | 140.23 kB | Adobe PDF | View/Open |
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