A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems

被引：13

作者：

Johansson, B. Tomas ^{[1
]}

Lesnic, Daniel ^{[2
]}

Reeve, Thomas ^{[1
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

[2] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2012年 / 89卷 / 11期

关键词：

heat conduction; method of fundamental solutions (MFS); axisymmetric heat equation; radially symmetric heat equation; backward inverse problem; UNIQUE CONTINUATION; TIME; EQUATION; MFS;

D O I：

10.1080/00207160.2012.680448

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose and investigate an application of the method of fundamental solutions (MFS) to the radially symmetric and axisymmetric backward heat conduction problem (BHCP) in a solid or hollow cylinder. In the BHCP, the initial temperature is to be determined from the temperature measurements at a later time. This is an inverse and ill-posed problem, and we employ and generalize the MFS regularization approach [B. T. Johansson and D. Lesnic, A method of fundamental solutions for transient heat conduction, Eng. Anal. Boundary Elements 32 (2008), pp. 697-703] for the time-dependent heat equation to obtain a stable and accurate numerical approximation with small computational cost.

引用

页码：1555 / 1568

页数：14

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