A two-stage, two-level finite difference scheme for moving boundary problems

DOI10.1016/0045-7825(84)90056-2zbMath0535.65068OpenAlexW2039445791MaRDI QIDQ791292

P. C. Meek, John Norbury

Publication date: 1984

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(84)90056-2

zbMATH Keywords

second-order convergenceNewton methodmoving boundary problems'front tracking' methodstwo-stage, two-level finite difference scheme

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

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• “Waiting-time” Solutions of a Nonlinear Diffusion Equation
• A Comparative Study of Numerical Methods for Moving Boundary Problems
• Two-stage, Two-level Finite Difference Schemes for Non-linear Parabolic Equations
• Software for Nonlinear Partial Differential Equations
• Finite element solution of non-linear heat conduction problems with special reference to phase change
• A second order finite element method for the one-dimensional Stefan problem
• An Algorithm for the Integration of Unequally Spaced Data
• Heat conduction in a melting solid

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