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

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, wh...

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Detalles Bibliográficos
Autor principal: Bougoffa, Lazhar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4137730/
https://www.ncbi.nlm.nih.gov/pubmed/25165743
http://dx.doi.org/10.1155/2014/579628
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author Bougoffa, Lazhar
author_facet Bougoffa, Lazhar
author_sort Bougoffa, Lazhar
collection PubMed
description 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.
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spelling pubmed-41377302014-08-27 The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue Bougoffa, Lazhar ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014 2014-08-04 /pmc/articles/PMC4137730/ /pubmed/25165743 http://dx.doi.org/10.1155/2014/579628 Text en Copyright © 2014 Lazhar Bougoffa. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Bougoffa, Lazhar
The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
title The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
title_full The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
title_fullStr The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
title_full_unstemmed The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
title_short The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
title_sort adomian decomposition method for solving a moving boundary problem arising from the diffusion of oxygen in absorbing tissue
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4137730/
https://www.ncbi.nlm.nih.gov/pubmed/25165743
http://dx.doi.org/10.1155/2014/579628
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