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

Producción científica: Article › revisión exhaustiva

51 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	320-331
Número de páginas	12
Publicación	Applied Mathematics and Computation
Volumen	171
N.º	1
DOI	https://doi.org/10.1016/j.amc.2005.01.052
Estado	Published - dic 1 2005

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2005.01.052

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@article{49a6871848574bc6a852038e4374ca4f,

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",

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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 - https://www.scopus.com/pages/publications/28544435198

UR - https://www.scopus.com/pages/publications/28544435198#tab=citedBy

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

Resumen

ASJC Scopus subject areas

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