A two level finite difference scheme for one dimensional Pennes' bioheat equation

Jennifer J. Zhao; Jun Zhang; Ning Kang; Fuqian Yang

doi:10.1016/j.amc.2005.01.052

A two level finite difference scheme for one dimensional Pennes' bioheat equation

Jennifer J. Zhao, Jun Zhang, Ning Kang, Fuqian Yang

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	320-331
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	171
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2005.01.052
State	Published - Dec 1 2005

Keywords

Bioheat transfer
Finite difference
Pennes' equation

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2005.01.052

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title = "A two level finite difference scheme for one dimensional Pennes' bioheat equation",

abstract = "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.",

keywords = "Bioheat transfer, Finite difference, Pennes' equation",

author = "Zhao, {Jennifer J.} and Jun Zhang and Ning Kang and Fuqian Yang",

year = "2005",

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doi = "10.1016/j.amc.2005.01.052",

language = "English",

volume = "171",

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T1 - A two level finite difference scheme for one dimensional Pennes' bioheat equation

AU - Zhao, Jennifer J.

AU - Zhang, Jun

AU - Kang, Ning

AU - Yang, Fuqian

PY - 2005/12/1

Y1 - 2005/12/1

N2 - 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.

AB - 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.

KW - Bioheat transfer

KW - Finite difference

KW - Pennes' equation

UR - http://www.scopus.com/inward/record.url?scp=28544435198&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=28544435198&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2005.01.052

DO - 10.1016/j.amc.2005.01.052

M3 - Article

AN - SCOPUS:28544435198

SN - 0096-3003

VL - 171

SP - 320

EP - 331

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

A two level finite difference scheme for one dimensional Pennes' bioheat equation

Abstract

Keywords

ASJC Scopus subject areas

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