A numerical method to approximate the solutions of non‐linear absorption diffusion equations
Alexandru Dumiţrache · PAMM · 2007
Abstract 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)