Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/38378
Título: | Fractional pennes' bioheat equation: theoretical and numerical studies |
Autor(es): | Ferrás, Luís Jorge Lima Ford, N. J. Morgado, M. L. Nóbrega, J. M. Rebelo, M. S. |
Palavras-chave: | Fractional differential equations Caputo derivative Bioheat equation Stability Convergence fractional differential equations |
Data: | 2015 |
Editora: | Springer Verlag |
Revista: | Fractional Calculus and Applied Analysis |
Citação: | 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 |
Resumo(s): | 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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/38378 |
DOI: | 10.1515/fca-2015-0062 |
ISSN: | 1311-0454 1314-2224 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
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 |