Please use this identifier to cite or link to this item:
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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

Files in This Item:
File Description SizeFormat
Numerical approximation for the fractional diffusion.pdf140.23 kBAdobe PDFView/Open
Show full item record

Page view(s)

checked on Aug 11, 2022

Download(s) 5

checked on Aug 11, 2022

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.