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Error analysis of thermal equation with moving ends

M.A. Rincon and M.O. Lacerda

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 11, 2200-2215

Abstract: 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 discretization of space variable and time.

Keywords: Stefan Problem; Moving boundary; Error estimates (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:11:p:2200-2215

DOI: 10.1016/j.matcom.2010.04.013

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