Fractional bioheat equation


Autoria(s): Ferrás, Luís Jorge Lima; Ford, N. J.; Morgado, M. L.; Nóbrega, J. M.; Rebelo, M.
Data(s)

2015

Resumo

In this work we develop a new mathematical model for the Pennes’ bioheat equation assuming a fractional time derivative of single order. A numerical method for the solu- tion of such equations is proposed, and, the suitability of the new model for modelling real physical problems is studied and discussed

COMPETE, FEDER and Fundação para a Ciência e a Tecnologia (the Portuguese Foundation for Science and Technology (FCT)) through Projects UID/CTM/50025/2013, PTDC/EME- MFE/113988/2009 and EXPL/CTM-POL/1299/2013. M. Rebelo acknowledge financial funding by the Portuguese Foundation for Science and Technology through the project PEstOE/MAT/UI0297/2013 (Centro de Matemática e Aplicacões)

Identificador

978-84-617-2230-3

2312-0177

http://hdl.handle.net/1822/39261

Idioma(s)

eng

Relação

info:eu-repo/grantAgreement/FCT/5876/147333/PT

info:eu-repo/grantAgreement/FCT/5876-PPCDTI/134324/PT

info:eu-repo/grantAgreement/FCT/5876/147204/PT

info:eu-repo/grantAgreement/FCT/5876-PPCDTI/113988/PT

info:eu-repo/grantAgreement/FCT/COMPETE/134324/PT

http://cmmse.usal.es/cmmse2015/images/stories/congreso/Proceedings_CMMSE_2015.pdf

Direitos

info:eu-repo/semantics/openAccess

Palavras-Chave #Time-fractional diffusion equation #Caputo derivative #Bioheat equation #Stability #Convergence
Tipo

info:eu-repo/semantics/conferenceObject