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

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