Numerical solution of a free boundary value problem for parabolic equations†

DOI10.1080/00036817408839082zbMath0302.65076OpenAlexW1991469369WikidataQ58246201 ScholiaQ58246201MaRDI QIDQ4057513

Melvyn Ciment, Ronald B. Guenther

Publication date: 1974

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817408839082

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Cites Work

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• On the numerical integration of a parabolic differential equation subject to a moving boundary condition
• A free boundary problem and an extension of Muskat's model
• Mesh refinements for parabolic equations
• On the Melting of a Slab

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