Laboratory for High Performance Scientific Computing and Computer Simulation
Department of Computer Science
University of Kentucky
773 Anderson Hall
Lexington, KY 40506-0046, USA
In this study, we develop a three-level finite difference scheme for solving a 1D Pennes' bioheat transfer equation in a triple-layered skin structure. A convergence theorem is obtained by the discrete energy method, implying that the scheme is unconditionally stable. Numerical results for thermal analysis of a skin composed of epidermis, dermis and subcutaneous layers are obtained.
Mathematics Subject Classification:
The research work of Jun Zhang was supported in part by the U.S. National Science Foundation under the grant CCR-9902022, CCR-9988165, CCR-0092532, and ACI-0202934, in part by the U.S. Department of Energy under grant DE-FG02-02ER45961, in part by the Japanese Research Organization for Information Science & Technology, and in part by the University of Kentucky Research Committee.
The authors would like to thank Dr. Sherwood W. Samn at the Brooks Air Force Research Laboratory for a few discussions concerning the bioheat modelings.