A free boundary model for oxygen diffusion in a spherical medium
Abstract
The goal of this article is to find a correct approximated solution using a polynomial of sixth degree for the free boundary problem corresponding to the diffusion of oxygen in a spherical medium with simultaneous absorption at a constant rate, and to show some mistakes in previously published solutions.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2015
- DOI:
- 10.48550/arXiv.1503.02049
- arXiv:
- arXiv:1503.02049
- Bibcode:
- 2015arXiv150302049G
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 35R35;
- 80A22;
- 35C11
- E-Print:
- 10 pages, 6 figures and 2 tables. Paper accepted, in press in Journal of Biological Systems (2015)