The use of linear approximation scheme for solving the Stefan problem

DOI10.1023/A:1022240626467zbMath0902.65072MaRDI QIDQ1265608

P. Dzurenda

Publication date: 28 September 1998

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/32966

zbMATH Keywords

numerical exampleheat equationStefan problemRothe's methodimperfect contactmoving boundary value problemsolidification of steel

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

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• Solution of porous medium type systems by linear approximation schemes
• Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems
• Approximation of Degenerate Parabolic Problems Using Numerical Integration
• An Efficient Linear Scheme to Approximate Parabolic Free Boundary Problems: Error Estimates and Implementation
• Solution of Nonlinear Diffusion Problems by Linear Approximation Schemes

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