𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Comparative study between two numerical methods for oxygen diffusion problem

✍ Scribed by Gülkaç, Vildan

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
81 KB
Volume
25
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Two approximate numerical solutions of the oxygen diffusion problem are defined using three time‐level of Crank–Nicolson equation and Gauss–Seidel iteration for three time‐level of implicit method.

Oxygen diffusion in a sike cell with simultaneous absorption is an important problem and has a wide range of medical applications. The problem is mathematically formulated through two different stages. At the first stage, the stable case having no oxygen transition in the isolated cell is searched, whereas at the second stage the moving boundary problem of oxygen absorbed by the tissues in the cell is searched. The results obtained by three time‐level of implicit method and Gauss–Seidel iteration for three time‐level of implicit method and the results gave a good agreement with the previous methods (J. Inst. Appl. Math. 1972; 10:19–33; 1974; 13:385–398; 1978; 22:467–477). Copyright © 2008 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Analytical study and numerical experimen
Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
✍ J. T. Chen; S. R. Kuo; J. H. Lin 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB 👁 1 views

## Abstract For a plane elasticity problem, the boundary integral equation approach has been shown to yield a non‐unique solution when geometry size is equal to a degenerate scale. In this paper, the degenerate scale problem in the boundary element method (BEM) is analytically studied using the met