Diffusion of oxygen in a sphere with simultaneous absorption

DOI10.1016/0307-904X(90)90044-6zbMath0701.65084MaRDI QIDQ914346

N. C. Banik, Radhey S. Gupta

Publication date: 1990

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

moving boundaryabsorptionmoving grid methoddiffusion of oxygenclose-form short-time solutionfinite- difference solutionMurray and Landis method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Diffusion processes (60J60) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Initial value problems for second-order parabolic equations (35K15)

Related Items (6)

A new semi-analytical method for phase transformations in binary alloys ⋮ Hybrids of the heat balance integral method ⋮ Application of the combined integral method to Stefan problems ⋮ The oxygen diffusion problem: analysis and numerical solution ⋮ A numerical method for oxygen diffusion and absorption in a sike cell ⋮ An approximate method for oxygen diffusion in a sphere with simultaneous absorption

Cites Work

• Constrained integral method for solving moving boundary problems
• Atmospheric dispersion model of removal mechanism with integral term
• Moving grid method without interpolations
• A Method for Solving Moving Boundary Problems in Heat Flow using Cubic Splines or Polynomials
• The Solution of a Two-dimensional Time-dependent Diffusion Problem Concerned with Oxygen Metabolism in Tissues
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

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