Numerical schemes for one-dimensional Stefan-like problems with a forcing term

DOI10.1016/j.amc.2003.10.067zbMath1082.65569OpenAlexW2127648342MaRDI QIDQ2572755

Selcuk Kutluay

Publication date: 4 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.10.067

zbMATH Keywords

stabilityconvergencenumerical resultsfinite difference methodStefan problemMoving boundaryBoundary immobilisationForcing termVariable space grid

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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Conservative scheme for the thermodiffusion Stefan problem ⋮ Approximate analytical and numerical solutions for a two-dimensional Stefan problem ⋮ Two equivalent finite volume schemes for Stefan problem on boundary-fitted grids: front-tracking and front-fixing techniques

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