A moving boundary model for oxygen diffusion in a sick cell
Nadjate Djellab, Abdellatif Boureghda
Abstract
In this paper we use an approximate analytical method for numerical solution of one dimensional moving boundary problem. We consider the oxygen diffusion problem where the oxygen is allowed to diffuse into a sick cell which absorbs and immobilizes oxygen at a constant rate. Our main problem consists in tracking the moving boundary that represents the oxygen penetration depth inside the sick cell. We can find an accurate solution which is obtained by a polynomial of third and fourth degree and we show some mistakes in the paper published by Seval Çatal in (App.Math.Comput 145:361-369, 2003).
Topics & Concepts
Boundary value problemDiffusionOxygenBoundary (topology)PolynomialPenetration (warfare)Constant (computer programming)MechanicsApplied mathematicsMathematical analysisMathematicsComputer scienceChemistryPhysicsThermodynamicsOperations researchProgramming languageOrganic chemistryFractional Differential Equations SolutionsNumerical methods in inverse problemsAdvanced Mathematical Physics Problems