Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/38378
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Ferrás, Luís Jorge Lima | por |
dc.contributor.author | Ford, N. J. | por |
dc.contributor.author | Morgado, M. L. | por |
dc.contributor.author | Nóbrega, J. M. | por |
dc.contributor.author | Rebelo, M. S. | por |
dc.date.accessioned | 2015-11-23T17:39:02Z | - |
dc.date.available | 2015-11-23T17:39:02Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Ferras, L. L., Ford, N. J., Morgado, M. L., Nóbrega, J. A. M., & Rebelo, M. S. (2015). Fractional pennes' bioheat equation: theoretical and numerical studies. Fractional Calculus and Applied Analysis, 18(4), 1080-1106. doi: 10.1515/fca-2015-0062 | por |
dc.identifier.issn | 1311-0454 | por |
dc.identifier.issn | 1314-2224 | por |
dc.identifier.uri | https://hdl.handle.net/1822/38378 | - |
dc.description.abstract | In this work we provide a new mathematical model for the Pennes’ bioheat equation, assuming a fractional time derivative of single order. Alternative versions of the bioheat equation are studied and discussed, to take into account the temperature-dependent variability in the tissue perfusion, and both finite and infinite speed of heat propagation. The proposed bioheat model is solved numerically using an implicit finite difference scheme that we prove to be convergent and stable. The numerical method proposed can be applied to general reaction diffusion equations, with a variable diffusion coefficient. The results obtained with the single order fractional model, are compared with the original models that use classical derivatives. | por |
dc.description.sponsorship | The authors L.L. Ferras and J. M. Nobrega acknowledge financial funding by FEDER through the COMPETE 2020 Programme and by FCT Portuguese Foundation for Science and Technology under Projects UID/CTM/50025/2013 and EXPL/CTM-POL/1299/2013. L.L. Ferras acknowledges financial funding by the Portuguese Foundation for Science and Technology through the scholarship SFRH/BPD/100353/2014. M. Rebelo acknowledges financial funding by the Portuguese Foundation for Science and Technology through Project UID/MAT/00297/2013. | por |
dc.language.iso | eng | por |
dc.publisher | Springer Verlag | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876-PPCDTI/134324/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147333/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147204/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/COMPETE/134324/PT | - |
dc.rights | openAccess | por |
dc.subject | Fractional differential equations | por |
dc.subject | Caputo derivative | por |
dc.subject | Bioheat equation | por |
dc.subject | Stability | por |
dc.subject | Convergence | por |
dc.subject | fractional differential equations | por |
dc.title | Fractional pennes' bioheat equation: theoretical and numerical studies | por |
dc.type | article | - |
dc.peerreviewed | yes | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 1080 | por |
oaire.citationEndPage | 1106 | por |
oaire.citationIssue | 4 | por |
oaire.citationTitle | Fractional Calculus and Applied Analysis | por |
oaire.citationVolume | 18 | por |
dc.identifier.doi | 10.1515/fca-2015-0062 | por |
dc.subject.fos | Engenharia e Tecnologia::Engenharia dos Materiais | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Fractional Calculus and Applied Analysis | por |
Aparece nas coleções: | IPC - Artigos em revistas científicas internacionais com arbitragem |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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BIOHEAT fca-2015-0062.pdf | 1,12 MB | Adobe PDF | Ver/Abrir |