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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN Druckformat: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.v3.i2.50
pages 133-143

THE METHOD OF LINES FOR RECONSTRUCTING A MOVING BOUNDARY IN ONE-DIMENSIONAL HEAT CONDUCTION PROBLEM

Ji-Chuan Liu
China University of Mining and Technology
Ting Wei
School of Mathematics and Statistics, Lanzhou University

ABSTRAKT

In this paper, we use a method of lines to determine a moving boundary from Cauchy data in a one-dimensional heat conduction problem. This problem is ill-posed; thus, a quasi-reversibility regularization method is applied to obtain a stable numerical solution. Numerical experiments for several examples show that the proposed method is effective and stable.


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