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.
The paper was published as Technical Report 354-02, Department of Computer Science, University of Kentucky, Lexington, KY, 2002. Download the compressed postscript file pennes1d.ps.gz, or the PDF file pennes1d.pdf.
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.