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A fixed domain method for diffusion with a moving boundary

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Publication:1164976
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DOI10.1007/BF00042720zbMath0486.65058MaRDI QIDQ1164976

L. W. Morland

Publication date: 1982

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


zbMATH Keywords

diffusion equationmoving boundarytwo-phase problemfixed domain method


Mathematics Subject Classification ID

Heat equation (35K05) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06)


Related Items (4)

Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting ⋮ The unsteady plane flow of ice-sheets: A parabolic problem with two moving boundaries ⋮ Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface ⋮ Thermomechanical balances of ice sheet flows




Cites Work

  • Unnamed Item
  • Unnamed Item
  • On the numerical integration of a parabolic differential equation subject to a moving boundary condition
  • A modified variable time step method for the one-dimensional Stefan problem
  • Numerical Solution of a Parabolic Free Boundary Problem via Newton's Method
  • A Comparative Study of Numerical Methods for Moving Boundary Problems




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