We develop a new two level finite difference scheme for the 1D Pennes' bioheat equation. We further prove that the scheme is stable and convergent unconditionally. Numerical experiments for a skin heating model are conducted.
Mathematics Subject Classification: 90C10, 80A20, 65M06.
Technical Report 354-02, Department of Computer Science, University of Kentucky, Lexington, KY, 2002.
The research of Jennifer J. Zhao was supported in part by the U.S. National Science Foundation under grant CCR-0117602. The work of Jun Zhang and Ning Kang 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 Office of Sceince 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.