The Numerical Solution of an Inverse Two-Phase Stefan Problem

DOI

10.2991/ceie-16.2017.11How to use a DOI?

Keywords

Inverse Two-Phase Stefan Problem; Difference approximation Method; Integral Equation Method; Volterra Integral Equations of the First kind; Tikhonov's Method

Abstract

In this paper, the author studies an inverse two-phase Stefan problem obtained from a one-dimensional model of ice melting. This problem can be reduced to solve two hot-conduction equations. One is posed, so we can use the difference approximation method to solve it. The other is ill-posed. We first need to translate it into an integral equation, then use Tikhonov's method to regularize the integral equation.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Tingting Li
AU  - He Yin
AU  - Quangang Wen
PY  - 2016/10
DA  - 2016/10
TI  - The Numerical Solution of an Inverse Two-Phase Stefan Problem
BT  - Proceedings of the International Conference on Communication and Electronic Information Engineering (CEIE 2016)
PB  - Atlantis Press
SP  - 78
EP  - 84
SN  - 2352-5401
UR  - https://doi.org/10.2991/ceie-16.2017.11
DO  - 10.2991/ceie-16.2017.11
ID  - Li2016/10
ER  -