Numerical solution of the oxygen diffusion in absorbing tissue with a moving boundary

DOI10.1002/CNM.857zbMath1107.80004OpenAlexW2087620067MaRDI QIDQ3423245

Abdellatif Boureghda

Publication date: 20 February 2007

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.857

zbMATH Keywords

diffusionfinite differencespartial differential equationtime dependentabsorbing medium

Mathematics Subject Classification ID

Diffusion (76R50) Stefan problems, phase changes, etc. (80A22) Trigonometric approximation (42A10) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (8)

Numerical solution of a class of moving boundary problems with a nonlinear complementarity approach ⋮ A modified variable time step method for solving ice melting problem ⋮ Analytic and numeric solutions of moving boundary problems ⋮ Du Fort-Frankel Finite Difference Scheme for Solving of Oxygen Diffusion Problem inside One Cell ⋮ Numerical solution of the oxygen diffusion problem in cylindrically shaped sections of tissue ⋮ On the numerical solution of a Stefan problem with finite extinction time ⋮ The oxygen diffusion problem: analysis and numerical solution ⋮ Comparative study between two numerical methods for oxygen diffusion problem

Cites Work

• On the numerical integration of a parabolic differential equation subject to a moving boundary condition
• An evolution variational inequality related to a diffusionabsorption problem
• A model of oxygen diffusion in absorbing tissue
• A Method for Solving Moving Boundary Problems in Heat Flow using Cubic Splines or Polynomials
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

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