Numerical solution of the oxygen diffusion problem in cylindrically shaped sections of tissue |
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| Authors: | Abdellatif Boureghda |
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| Institution: | 1. Laboratoire de Mathématiques, Informatique et Applications, Université de Haute Alsace, Faculté des Sciences et Techniques, 4–6, rue des Frères Lumière, 68093 Mulhouse Cedex, France;2. Department of Mathematics, Ferhat Abbas University, Sétif, Algeria |
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| Abstract: | A mathematical model is presented which describes the diffusion of oxygen in absorbing tissue, and numerical solution of its partial differential equation is obtained by the finite difference equations. The diffusion with absorption model is associated with the process of a moving boundary which marks the furthest penetration of oxygen in the absorbing cylindrically shaped sections of tissue and also allows for an initial distribution of oxygen through the absorbing tissue. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | moving boundary problems Stefan problems oxygen diffusion problem finite difference methods |
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