Determination of two unknown thermal coefficients through an inverse one-phase fractional Stefan problem

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.

A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem

We extend a meshless method of fundamental solutions recently proposed by the authors for the one-dimensional two-phase nverse linear Stefan problem, to the nonlinear case. In this latter situation the free surface is also considered unknown which is ore realistic from the practical point of view. Building on the earlier work, the solution is approximated in each phase by a linear ombination of...

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...

An Inverse Stefan Problem

AN INVERSE PROBLEM WITH UNKNOWN RADIATION TERM

In this paper, we consider an inverse problem of linear heat equation with nonlinear boundary condition. We identify the temperature and the unknown radiation tern from an overspecified condition on the boundary