Fractional bioheat equation

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 disc...

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Detalhes bibliográficos
Autor principal: Ferrás, Luís Jorge Lima (author)
Outros Autores: Ford, N. J. (author), Morgado, M. L. (author), Nóbrega, J. M. (author), Rebelo, M. (author)
Formato: conferencePaper
Idioma:eng
Publicado em: 2015
Assuntos:
Time-fractional diffusion equation
Caputo derivative
Bioheat equation
Stability
Convergence
Ciências Naturais::Ciências da Computação e da Informação
Ciências Naturais::Matemáticas
Texto completo:http://hdl.handle.net/1822/39261
País:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/39261
Descrição
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

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