Du Fort-Frankel Finite Difference Scheme for Solving of Oxygen Diffusion Problem inside One Cell

DOI10.1080/23324309.2023.2271229OpenAlexW4387781076MaRDI QIDQ6192447

Unnamed Author, Abdellatif Boureghda

Publication date: 12 February 2024

Published in: Journal of Computational and Theoretical Transport (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23324309.2023.2271229

zbMATH Keywords

finite difference methodsmoving boundary problemspartial differential equationsStefan problemsDu Fort-Frankel finite difference scheme

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06) Moving boundary problems for PDEs (35R37) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• A Method for Solving Moving Boundary Problems in Heat Flow using Cubic Splines or Polynomials
• A Finite Element Moving Boundary Computation with an Adaptive Mesh
• Engineering and Economic Applications of Complementarity Problems
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

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