A FOURTH-ORDER COMPACT FINITE-DIFFERENCE SCHEME FOR SOLVING A 1-D PENNES' BIOHEAT TRANSFER EQUATION IN A TRIPLE-LAYERED SKIN STRUCTURE

In this study, we develop a fourth-order compact finite-difference scheme for solving the 1-D Pennes' bioheat transfer equation in a triple-layered skin structure. To this end, we employ the fourth-order compact finite-difference method and the Crank-Nicholson method to discretize the Pennes�...

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Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Fundamentals, 2004-11, Vol.46 (5), p.447-461
Main Authors: Dai, Weizhong, Yu, Haofeng, Nassar, Raja
Format: Article
Language:English
Subjects:
Analytical and numerical techniques
Applied physiology
Biological and medical sciences
Ergonomics. Work place. Occupational physiology
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat transfer
Human physiology applied to population studies and life conditions. Human ecophysiology
Medical sciences
Physics
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Summary:In this study, we develop a fourth-order compact finite-difference scheme for solving the 1-D Pennes' bioheat transfer equation in a triple-layered skin structure. To this end, we employ the fourth-order compact finite-difference method and the Crank-Nicholson method to discretize the Pennes' bioheat equation, where the second-order derivative of temperature, θ xx , at boundaries and interfaces is calculated using a combined compact finite-difference method incorporating the boundary conditions and interfacial conditions. As such, the solution system becomes a diagonal-dominated tridiagonal linear system. The method is illustrated by two numerical examples.
ISSN:1040-7790
1521-0626
DOI:10.1080/104077990503014