Exact solution of the one phase inverse Stefan problem

One-phase inverse stefan problem solved by adomian decomposition method

In this paper, the solution of one-phase inverse Stefan problem is presented. The problem consists of the reconstruction of the function which describes the distribution of temperature on the boundary, when the position of the moving interface is well-known. The proposed solution is based on the Adomian decomposition method and the least square method. (~) 2006 Elsevier Ltd. All rights reserved...

Nonlinear Two-Phase Stefan Problem

In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.

Exact solution of a Stefan problem in a nonhomogeneous cylinder

The exact solution is found for the Stefan problem of inwards freezing of a nonhomogeneous cylinder whose specific heat and latent heat depend upon the inverse square of the radial distance. The freezing time for the corresponding annular cylinder is found exactly. The validity of the pseudo-steady-state approximation for the solvable cylinder problem is verified explicitly. It is argued that t...

An Inverse Stefan Problem

Direct and inverse one-phase Stefan problem solved by the variational iteration method

In this paper, solutions of one-phase direct and inverse Stefan problems are presented. The direct problem consists in a calculation of temperature distribution and of a function which describes the position of the moving interface, whilst the inverse problem consists in a calculation of temperature distribution as well as in the reconstruction of the function which describes the temperature di...