TITLE:
Mathematical modelling of a biofilm: The Adomian decomposition method
AUTHORS:
Subramanian Muthukaruppan, Alagu Eswari, Lakshmanan Rajendran
KEYWORDS:
Mathematical Modeling; Simulation; Adomian Decomposition Method; Initial Boundary Value Problems
JOURNAL NAME:
Natural Science,
Vol.5 No.4,
April
19,
2013
ABSTRACT: A mathematical
modelling by a biofilm under steady state conditions is discussed. The nonlinear
differential Equations in biofilm reaction is solved using the Adomian decomposition
method. Approximate analytical expressions for substrate concentration have
been derived for all values of parameters δ and SL.
These analytical results are compared with the available numerical results
and are found to be in good agreement.