Numerical approximation for the oxygen diffusion problem.

DOI10.1016/S0096-3003(02)00493-9zbMath1101.80305MaRDI QIDQ1412452

Seval Çatal

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Oxygen diffusionMoving boundary problemConstrained integral method

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (5)

Numerical solution of a class of moving boundary problems with a nonlinear complementarity approach ⋮ An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue ⋮ Solution of a moving boundary problem for soybean hydration by numerical approximation ⋮ The oxygen diffusion problem: analysis and numerical solution ⋮ A numerical method for oxygen diffusion and absorption in a sike cell

Cites Work

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• Variable time-step method with coordinate transformation
• Complete numerical solution of the oxygen diffusion problem involving a moving boundary
• A Fourier-series Solution of the Crank—Gupta Equation
• Numerical Solution of a Diffusion Consumption Problem with a Free Boundary
• A Finite Element Moving Boundary Computation with an Adaptive Mesh
• Application of Integral Methods to Transient Nonlinear Heat Transfer
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

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