Identification of the boundary mode in one thermal problem based on the single-phase Stefan model

DOI10.1007/S10559-023-00560-8OpenAlexW4365516632MaRDI QIDQ6046245

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Publication date: 10 May 2023

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-023-00560-8

zbMATH Keywords

difference methodboundary inverse problemfront straightening methodheat transfer with phase transformationice melting processmovable phase interface

Mathematics Subject Classification ID

Miscellaneous topics in partial differential equations (35Rxx) Parabolic equations and parabolic systems (35Kxx) Thermodynamics and heat transfer (80Axx)

Cites Work

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• Direct and inverse one-phase Stefan problem solved by the variational iteration method
• Approximate analytical and numerical solutions for a two-dimensional Stefan problem
• The Stefan problem. Translated from the Russian by Marek Niezgódka and Anna Crowley
• A numerical method to solve identification problem for the lower coefficient and the source in the convection-reaction equation
• Inverse and ill-posed problems. Theory and applications.
• Two simple numerical methods for the free boundary in one-phase Stefan problem
• A comparison of numerical models for one-dimensional Stefan problems
• Numerical methods for solving inverse problems of mathematical physics.
• Inverse Problems for Determining Boundary Regimes for Some Equations of Sobolev Type
• On the Stefan problem
• A meshless method for an inverse two-phase one-dimensional linear Stefan problem
• A heat polynomial method for inverse cylindrical one-phase Stefan problems

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