A new mathematical approach for solving carrier-facilitated steady-state diffusion problems

1979 ◽  
Vol 8 (1) ◽  
pp. 1-13 ◽  
Author(s):  
L. Hoofd ◽  
F. Kreuzer
Keyword(s):  
Steady State ◽  
Mathematical Approach ◽  
State Diffusion ◽  
Steady State Diffusion ◽  
Diffusion Problems

scholarly journals Bioelectrocatalytic endpoint assays based on steady-state diffusion current at microelectrode array

2010 ◽  
Vol 12 (6) ◽  
pp. 839-842 ◽  
Author(s):  
Tatsuo Noda ◽  
Katsumi Hamamoto ◽  
Maiko Tsutsumi ◽  
Seiya Tsujimura ◽  
Osamu Shirai ◽  
...  
Keyword(s):  
Steady State ◽  
Microelectrode Array ◽  
Diffusion Current ◽  
State Diffusion ◽  
Steady State Diffusion

scholarly journals Numerical Solution of Continuation Problem for 3D Steady-State Diffusion in Cylindrically Layered Medium

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
Magira Kulbay ◽  
Saule Maussumbekova ◽  
Balgaisha Mukanova
Keyword(s):  
Steady State ◽  
Layered Medium ◽  
Outer Boundary ◽  
Cauchy Data ◽  
Piecewise Constant Function ◽  
Piecewise Constant ◽  
State Diffusion ◽  
Solution Methods ◽  
Continuation Problem ◽  
Steady State Diffusion

This work is based on the application of Fourier and quasi-solution methods for solving the continuation inverse problem for 3D steady-state diffusion model inside a cylindrical layered medium. The diffusion coefficient is supposed to be a piecewise constant function, Cauchy data are given on the outer boundary of the cylinder, and we seek to recover the temperature at the inner boundary of the cylinder. Numerical experiments are investigated and show the capacity of proposed method only for smooth boundary condition. Under the suitable choice of regularization parameters we recover the distribution of temperature on the inner boundary with satisfactory quality for noisy data.

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