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- W2187218493 abstract "We consider the oxygen diffusion equation. Oxygen diffusion in a sike cell with simultaneous absorption is an important probl em. Oxygen diffusion has a wide range of medical applications. Numerical solutions of its partial differential equation are obtained by extrapolation method with the vector of values V approximating to C (diffusion) at the mesh points. And the results gave a good agreement with the previous methods (1,2,3). And L0 stability method of analysis of the stability is also investigated. Keywords— Oxygen Diffusion Problem, Pade approximates, finite difference, L0 stability. MSC2010 Database:65Mxx The diffusion with absorption model accounts for the presence of moving boundary which marks the furthest penetration of oxygen into the absorbing medium and also allows for an initial distribution of oxygen through the absorbing tissue. The model predictions may be used in the development of time variant radiation treatments of cancerous tumors, so that the dosage of radiation could be varied with the changing oxygen concentration. Simple expressions are also presented for evaluating the surface oxygen concentration the rate of consumption of oxygen per unit volume of absorbing tissue, and the point of innermost oxygen penetration. Crank and Gupta (1) studied the moving boundary problem arising from the diffusion of oxygen into absorbing tissue. Crank and Gupta (4) also employed an uniform space grid moving with the boundary and the necessary interpolations are performed with either cube splines or polynomials, Liapis et al. (5) proposed an orthogonal collocation for solving the partial differential equation of the diffusion of oxygen in absorbing tissue. Gulkac studied two numerical methods for oxygen diffusion problem (3). More references to this problem can" @default.
- W2187218493 created "2016-06-24" @default.
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- W2187218493 date "2015-04-25" @default.
- W2187218493 modified "2023-10-02" @default.
- W2187218493 title "An Extrapolation Method For Oxygen Diffusion Problem" @default.
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- W2187218493 doi "https://doi.org/10.14299/ijser.2015.04.009" @default.
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