Exact solution of the one phase inverse Stefan problem

DOI10.2298/FIL1803985SzbMath1499.80008OpenAlexW2883554912WikidataQ129458624 ScholiaQ129458624MaRDI QIDQ5023478

Zamanbek Mukambetkazin, Samat A. Kassabek, Merey M. Sarsengeldin, Stanislav N. Kharin

Publication date: 21 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1803985s

zbMATH Keywords

exact solutionelectric contactsinverse one phase Stefan problemintegral error function

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Inverse problems for PDEs (35R30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Spectral, collocation and related (meshless) methods applied to problems in thermodynamics and heat transfer (80M22)

Related Items (2)

Two-phase inverse Stefan problems solved by heat polynomials method ⋮ A heat polynomial method for inverse cylindrical one-phase Stefan problems

Cites Work

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• An approach for solving an inverse spherical two‐phase Stefan problem arising in modeling of electric contact phenomena
• Method of the integral error functions for the solution of the one- and two-phase Stefan problems and its application

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