scientific article; zbMATH DE number 1417960

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1098-2426(200001)16:1<42::AID-NUM4>3.0.CO;2-L" /><42::AID-NUM4>3.0.CO;2-L 10.1002/(SICI)1098-2426(200001)16:1<42::AID-NUM4>3.0.CO;2-LzbMath0953.65058MaRDI QIDQ4944257

Edgardo A. Moyano, Alberto F. Scarpettini

Publication date: 10 January 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

algorithmsstabilityconvergencenumerical examplesmoving boundary problemimplicit finite-difference schemediffusion-convection problemcancerous tumorsLandau's transformation

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) 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) Free boundary problems for PDEs (35R35)

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Cites Work

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• Variable time-step method with coordinate transformation
• On the numerical integration of a parabolic differential equation subject to a moving boundary condition
• Complete numerical solution of the oxygen diffusion problem involving a moving boundary
• TWO METHODS FOR THE NUMERICAL SOLUTION OF MOVING-BOUNDARY PROBLEMS IN DIFFUSION AND HEAT FLOW
• A model of oxygen diffusion in absorbing tissue
• A Comparative Study of Numerical Methods for Moving Boundary Problems
• Domain mappings for the numerical solution of partial differential equations
• An Implicit Free Boundary Problem for the Heat Equation
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
• Heat conduction in a melting solid

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