Error analysis of thermal equation with moving ends
A mathematical model of the linear thermodynamic equations with moving ends, based on the Stefan Problem is considered. In this work, we are interested in obtaining existence, uniqueness and regularity using the Galerkin method and mainly to establish an error estimates of solutions in Sobolev spaces for the semi-discrete problem, with discretization of space variable, continuous time and for the completely discrete problem with diseretization of space variable and time. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
stefan problem error estimates moving boundary