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 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 The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Lazhar Bougoffa
Keyword(s):  
Oxygen Diffusion ◽  
Decomposition Method ◽  
Moving Boundary ◽  
Approximate Analytical Solution ◽  
Adomian Decomposition Method ◽  
Approximate Solutions ◽  
Diffusion Problem ◽  
Moving Boundary Problem ◽  
Resolution Method ◽  
Adomian Decomposition

This paper begins by giving the results obtained by the Crank-Gupta method and Gupta-Banik method for the oxygen diffusion problem in absorbing tissue, and then we propose a new resolution method for this problem by the Adomian decomposition method. An approximate analytical solution is obtained, which is demonstrated to be quite accurate by comparison with the numerical and approximate solutions obtained by Crank and Gupta. The study confirms the accuracy and efficiency of the algorithm for analytic approximate solutions of this problem.

Sign in / Sign up

Export Citation Format

Share Document