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

TY - JOUR

T1 - A FOURTH-ORDER COMPACT FINITE-DIFFERENCE SCHEME FOR SOLVING A 1-D PENNES' BIOHEAT TRANSFER EQUATION IN A TRIPLE-LAYERED SKIN STRUCTURE

AU - Dai, Weizhong

AU - Yu, Haofeng

AU - Nassar, Raja

N1 - 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.

PY - 2004/11/1

Y1 - 2004/11/1

UR - https://www.tandfonline.com/doi/abs/10.1080/104077990503014

U2 - 10.1080/104077990503014

DO - 10.1080/104077990503014

M3 - Article

VL - 46

JO - Numerical Heat Transfer Part B-fundamentals

JF - Numerical Heat Transfer Part B-fundamentals

IS - 5

ER -