The Numerical Solution of an Inverse Two-Phase Stefan Problem

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.