A method of fundamental solutions for the one-dimensional inverse Stefan problem

被引：71
|
作者：
Johansson, B. T. [1 ]
Lesnic, D. [2 ]
Reeve, T. [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：
APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 09期
基金：
英国工程与自然科学研究理事会;
关键词：
Heat conduction; Method of fundamental solutions (MFS); Inverse Stefan problem; HEAT-CONDUCTION; NUMERICAL-SOLUTION; BOUNDARY; RECONSTRUCTION; MOLLIFICATION; FLUX;
D O I：
10.1016/j.apm.2011.03.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We investigate an application of the method of fundamental solutions (MFS) to the one-dimensional inverse Stefan problem for the heat equation by extending the MFS proposed in [5] for the one-dimensional direct Stefan problem. The sources are placed outside the space domain of interest and in the time interval (-T,T). Theoretical properties of the method, as well as numerical investigations, are included, showing that accurate and stable results can be obtained efficiently with small computational cost. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：4367 / 4378
页数：12
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