Analytical expression of concentration of substrate in biofilm reactor using adomian decomposition method

Mathematical and kinetic modelings of biofilm reactors were discussed. the model contains a non-linear term related to monod and haldane kinetics. in this paper, a simple approximate analytical expression of substrate concentration profiles is derived in terms of all dimensionless parameters. these analytical results were found to be in good agreement with numerical solution by using the matlab program. moreover, in we employ modified adomian decomposition method (adm) here to solve the second order nonlinear differential equation. this work presents the approximate analytical solution for non-linear equations in a fixed bed biofilm reactor. this analytical result could be very helpful for analyse and to optimize the parameter.