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The model that describes the transformation of biomass into biogas, a process called Anaerobic Digestion, is complex because it involves nonlinear and coupled ordinary differential equations. In this way, obtaining an analytical-numerical solution becomes attractive for this problem. In this paper, the chemical kinetics of the anaerobic digestion process is modelade. The system of equations of the model was solved by the Modified Adomian Decomposition Method, a powerful technique used for solve systems of linear and nonlinear differential equations, since it is computationally convenient, precise and physically realistic. The results are compared with the data obtained by the second-order Simplified Runge-Kutta method, and they agree well with each other.

Comparison of the Modified Adomian Decomposition Method and the Simplified Runge-Kutta Method for Solutions of the Anaerobic Digestion Process