On the 2D bioheat equation with convective boundary conditions and its numerical realization via a highly accurate approach

被引：13

作者：

Bedin, Luciano ^{[1
]}

Viloche Bazan, Fermin S. ^{[1
]}

机构：

[1] Univ Fed Santa Catarina, Dept Math, BR-88040900 Florianopolis, SC, Brazil

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 236卷

关键词：

Pennes equation; Convective boundary conditions; Fourier method; Pseudospectral methods; HEAT-TRANSFER; POROUS-MEDIA; MODEL; IMPACT;

D O I：

10.1016/j.amc.2014.03.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A series solution for a 2D bioheat Pennes conduction model with convective boundary conditions is established by using the classical Fourier method. To validate and compare results, a numerical method for constructing highly accurate numerical solutions is also derived and numerically illustrated. Both, the series solution and the proposed numerical method open interesting possibilities of application in inverse perfusion coefficient identification problems. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：422 / 436

页数：15

共 50 条

[41] A new approach for direct solution of 2D heat transfer problems in frequency domain with dynamic boundary conditions
Zhang, R.
Zhang, C.
Jiang, J.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2008, 9 (03) : 249 - 265
[42] Numerical study of the variable-order fractional version of the nonlinear fourth-order 2D diffusion-wave equation via 2D Chebyshev wavelets
M. Hosseininia
M. H. Heydari
Z. Avazzadeh
Engineering with Computers, 2021, 37 : 3319 - 3328
[43] Numerical study of the variable-order fractional version of the nonlinear fourth-order 2D diffusion-wave equation via 2D Chebyshev wavelets
Hosseininia, M.
Heydari, M. H.
Avazzadeh, Z.
ENGINEERING WITH COMPUTERS, 2021, 37 (04) : 3319 - 3328
[44] Compact difference scheme for a class of non-classical problem of 2D heat equation with Neumann's boundary conditions
Yang, Lei
Zhang, L. M.
Chen, Youxin
PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL II: MATHEMATICAL MODELLING, 2008, : 401 - 405
[45] Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach
Borhanifar, A.
Shahmorad, S.
Feizi, E.
Baleanu, D.
MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 213 : 161 - 176
[46] Boundary integral equations for 2D elasticity and its application in discrete dislocation simulation in finite body: 2. Numerical implementation
Diab, Mazen
Yu, Hong-Hui
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2014, 51 (3-4) : 680 - 689
[47] THE NUMERICAL MESHLESS APPROACH FOR SOLVING THE 2D TIME NONLINEAR MULTI-TERM FRACTIONAL CABLE EQUATION IN COMPLEX GEOMETRIES
Zou, Wennan
Tang, Yu
Hosseini, Vahid Reza
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (05)
[48] A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model
Wang, Jihong
Di, Yana
Yang, Jerry Zhijian
Zhang, Jiwei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 158 : 1 - 12
[49] Diagonal form fast multipole boundary element method for 2D acoustic problems based on Burton-Miller boundary integral equation formulation and its applications
吴海军
蒋伟康
Applied Mathematics and Mechanics(English Edition), 2011, 32 (08) : 981 - 996
[50] Diagonal form fast multipole boundary element method for 2D acoustic problems based on Burton-Miller boundary integral equation formulation and its applications
Hai-jun Wu
Wei-kang Jiang
Y. J. Liu
Applied Mathematics and Mechanics, 2011, 32 : 981 - 996

← 1 2 3 4 5 →