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A numerical method to approximate the solutions of non‐linear absorption diffusion equations
Author(s) -
Dumitrache Alexandru
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701050
Subject(s) - diffusion , absorption (acoustics) , diffusion equation , numerical analysis , nonlinear system , mathematics , mathematical analysis , physics , thermodynamics , optics , engineering , metric (unit) , operations management , quantum mechanics
This paper investigates the motivation for the n‐dimensional absorption‐diffusion equation. First, the one‐dimensional, nonlinear absorption‐diffusion equation was mathematically developed. A numerical method to computationally solve it and diffusion‐free equations were also developed. For the cases tested, the numerical diffusion solutions are always less than the numerical diffusion‐free solutions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)