Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11172
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Sousa, Ercília | - |
dc.date.accessioned | 2009-08-26T14:16:33Z | - |
dc.date.available | 2009-08-26T14:16:33Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Pré-Publicações DMUC. 09-16 (2009) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11172 | - |
dc.description.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. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.title | Numerical approximation for the fractional diffusion equation via splines | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4021-4559 | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Numerical approximation for the fractional diffusion.pdf | 140.23 kB | Adobe PDF | View/Open |
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.