An isotherm migration formulation for one-phase Stefan problem with a time dependent Neumann condition.

DOI10.1016/S0096-3003(03)00197-8zbMath1038.65076OpenAlexW2051306845MaRDI QIDQ1428177

Selcuk Kutluay, Alaattin Esen

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00197-8

zbMATH Keywords

Neumann boundary conditionStefan problemConvergenceHeat equationFinite differencesNumerical resultsIsotherm migrationMoving boudnary

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free boundary problems for PDEs (35R35) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

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Cites Work

• On an implicit scheme for the isotherm migration method along orthogonal flow lines in two dimensions
• A note on the use of the isotherm migration method
• The numerical solution of one-phase classical Stefan problem
• Numerical Solution of a Free Boundary Problem by Interchanging Dependent and Independent Variables
• A Comparative Study of Numerical Methods for Moving Boundary Problems
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