A numerical method to approximate the solutions of non‐linear absorption diffusion equations | Zendy

Dumitrache Alexandru | Zendy

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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)

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