An approximate method for oxygen diffusion in a sphere with simultaneous absorption. (English) Zbl 0969.76083

Summary: The oxygen diffusion problem is usually formulated in two stages: first, the steady state stage, and second, the moving boundary stage. In this paper, we consider the solution of the second stage, for which a new semi-analytical method is developed. The method starts by assuming a polynomial representing the profile of oxygen concentration, and then by some mathematical manipulation a system of linear equations is obtained. Numerical solution for the system with a simple scheme relating the moving boundary and its velocity leads to the unknown functions in the assumed polynomial.


76R50 Diffusion
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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