Numerical solution of the oxygen diffusion problem in cylindrically shaped sections of tissue

2008 ◽  
Vol 56 (10) ◽  
pp. 1945-1960 ◽  
Author(s):  
Abdellatif Boureghda
Keyword(s):  
Numerical Solution ◽  
Oxygen Diffusion ◽  
Diffusion Problem

An improved formulation of the oxygen-diffusion problem and its application to Zircaloy oxidation by steam

1997 ◽  
Vol 47 (5-6) ◽  
pp. 427-444 ◽  
Author(s):  
S. K. Wong ◽  
C. C. Chan ◽  
S. K. Crusher Wong
Keyword(s):  
Oxygen Diffusion ◽  
Diffusion Problem

scholarly journals Efficient difference scheme for numerical solution of a convective diffusion problem

2008 ◽  
Vol 44 (2) ◽  
pp. 308-308
Author(s):  
V. A. Prusov ◽  
A. E. Doroshenko ◽  
R. I. Chernysh ◽  
L. N. Guk
Keyword(s):  
Difference Scheme ◽  
Numerical Solution ◽  
Convective Diffusion ◽  
Diffusion Problem

scholarly journals The New Approximate Analytic Solution for Oxygen Diffusion Problem with Time-Fractional Derivative

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Vildan Gülkaç
Keyword(s):  
Oxygen Diffusion ◽  
Moving Boundary ◽  
Essential Feature ◽  
Power Series Expansion ◽  
Approximate Solutions ◽  
Convergent Series ◽  
Diffusion Problem ◽  
Approximate Analytic Solution ◽  
Stable Case ◽  
Modified Method

Oxygen diffusion into the cells with simultaneous absorption is an important problem and it is of great importance in medical applications. The problem is mathematically formulated in two different stages. At the first stage, the stable case having no oxygen transition in the isolated cell is investigated, whereas at the second stage the moving boundary problem of oxygen absorbed by the tissues in the cell is investigated. In oxygen diffusion problem, a moving boundary is essential feature of the problem. This paper extends a homotopy perturbation method with time-fractional derivatives to obtain solution for oxygen diffusion problem. The method used in dealing with the solution is considered as a power series expansion that rapidly converges to the nonlinear problem. The new approximate analytical process is based on two-iterative levels. The modified method allows approximate solutions in the form of convergent series with simply computable components.

scholarly journals Solution of fractional oxygen diffusion problem having without singular kernel

2017 ◽  
Vol 10 (1) ◽  
pp. 299-307 ◽  
Author(s):  
Badr S. Alkahtani ◽  
Obaid J. Algahtani ◽  
Ravi Shanker Dubey ◽  
Pranay Goswami
Keyword(s):  
Oxygen Diffusion ◽  
Diffusion Problem ◽  
Singular Kernel

scholarly journals Numerical solution of an inverse diffusion problem for the moisture transfer coefficient in a porous material

2007 ◽  
Vol 41 (2) ◽  
pp. 335-344 ◽  
Author(s):  
I. V. Amirkhanov ◽  
E. Pavlušová ◽  
M. Pavluš ◽  
T. P. Puzynina ◽  
I. V. Puzynin ◽  
...  
Keyword(s):  
Porous Material ◽  
Transfer Coefficient ◽  
Numerical Solution ◽  
Moisture Transfer ◽  
Diffusion Problem ◽  
Moisture Transfer Coefficient ◽  
Inverse Diffusion
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