title: The Adomian decomposition method for solving a moving boundary problem arising from the diffusion of oxygen in absorbing tissue.
abstract: 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.
authors.affiliation: Department of Mathematics, Faculty of Science, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 90950, Riyadh 11623, Saudi Arabia.
authors.forename: Lazhar
authors.initials: L
authors.lastname: Bougoffa
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D008433:Mathematics; D008962:Models, Theoretical; D010100:Oxygen / Q000737:chemistry*
chemical_list: D010100:Oxygen