Algorithm for the numerical solution of the Stefan problem and its application to calculations of the temperature of tungsten under impulse action
DOI10.1007/s10958-024-06916-5OpenAlexW4391108407MaRDI QIDQ6190587
Darya E. Apushkinskaya, G. G. Lazareva
Publication date: 6 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-024-06916-5
Stefan problemnumerical solutionnonlinear boundary conditionsnonlinear coefficientsDirac Delta functionmethod of continuous countingSamarskii's approach
Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Lasers, masers, optical bistability, nonlinear optics (78A60) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)
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