Solution of the heat transfer problem in tissues during hyperthermia by finite difference–decomposition method

In this article, a mathematical model describing the process of heat transfer in biological tissues with blood perfusion having different values under different temperature range for various coordinate system and different boundary conditions during thermal therapy by electromagnetic radiation is st...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 219; no. 12; pp. 6882 - 6892
Main Authors: Gupta, Praveen Kumar, Singh, Jitendra, Rai, K.N., Rai, S.K.
Format: Journal Article
Language:English
Published: Elsevier Inc 15.02.2013
Subjects:
Adomian decomposition method
Finite difference method
Heat transfer
Hyperthermia
Nonlinear partial differential equation
Nonlinear partial differential equation
Adomian decomposition method
Hyperthermia
Heat transfer
Finite difference method
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:In this article, a mathematical model describing the process of heat transfer in biological tissues with blood perfusion having different values under different temperature range for various coordinate system and different boundary conditions during thermal therapy by electromagnetic radiation is studied. Using the method of finite differences, the boundary value problem governing this process has been converted to an initial value problem of ordinary differential equations, which is solved by the Adomian decomposition method. The effects of blood perfusion rate intended for a different temperature range of temperature at target point during thermal therapy for different boundary conditions are discussed in detail. And we have also checked our results with the result of exact solutions for one case and it shows a good agreement.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.01.020