Asymptotic and Numerical Solutions of a Free Boundary Problem for the Sorption of a Finite Amount of Solvent into a Glassy Polymer

DOI10.1137/120899200zbMath1298.35257OpenAlexW2025034771MaRDI QIDQ3192115

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Publication date: 26 September 2014

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120899200

zbMATH Keywords

Stefan problemasymptotic expansionsmoving boundaryKeller box schemeheat balance integral methodsolvent drug penetration

Mathematics Subject Classification ID

Heat equation (35K05) Asymptotic expansions of solutions to PDEs (35C20) Transformations involving diffusion in solids (74N25) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06) Moving boundary problems for PDEs (35R37) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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