Analysis and Implementation of an Oxygen Absorption Model

DOI10.1137/1028109zbMath0624.65074OpenAlexW2060025827MaRDI QIDQ3026216

James F. Epperson

Publication date: 1986

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1028109

zbMATH Keywords

free boundary problemNewton iterationlocation of free boundarydiffusion and absorption of oxygen in tissue

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05) Physiological, cellular and medical topics (92Cxx)

Related Items (6)

Numerical transformation methods: A constructive approach ⋮ Similarity and numerical analysis for free boundary value problems^∗ ⋮ A numerical test for the existeence and uniqeness of solution of free boundery problems ⋮ Shooting methods for 1D steady-state free boundary problems ⋮ On the solutions of an oxygen absorption model ⋮ Normal variables transformation method applied to free boundary value problems^∗

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