Bio heat equation modeling on macro and micro scales

Authors :: Giorgi Ghvedashvili
Fridon Shubitidze
L. Shoshiashvili
D.G. Kakulia
K. Lomia
Source :: 2014 XIXth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED).
Publication Year :: 2014
Publisher :: IEEE, 2014.
Abstract: Finite Difference Time Domain (FDTD) method is successfully applied and used in variety of problems in applied electrodynamics. In this paper we present FDTD method for heat equation for classical Fourier model as well as for Cattaneo and Chen-Tzou models in micro and nano scales. Cattaneo Bio-Heat Equation for 1D case is investigated.

Subjects :: Split-step method
FTCS scheme
Partial differential equation
Nano
Mathematical analysis
Finite difference method
Finite-difference time-domain method
Physics::Optics
Heat equation
Macro
Mathematics

Database :: OpenAIRE
Journal :: 2014 XIXth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)
Accession number :: edsair.doi...........ff23540db8a80352ff996b78a39dd509
Full Text :: https://doi.org/10.1109/diped.2014.6958343