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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Bibliographic Details
Main Author: Ferrás, Luís Jorge Lima (author)
Other Authors: Ford, N. J. (author), Morgado, M. L. (author), Nóbrega, J. M. (author), Rebelo, M. (author)
Format: conferencePaper
Language:eng
Published: 2015
Subjects:
Time-fractional diffusion equation
Caputo derivative
Bioheat equation
Stability
Convergence
Ciências Naturais::Ciências da Computação e da Informação
Ciências Naturais::Matemáticas
Online Access:http://hdl.handle.net/1822/39261
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/39261
Description
Summary: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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