Application of adomian decomposition method to the two group neutron diffusion equation

There is a vast amount of literature on mathematical methods for solving linear/nonlinear ordinary or partial differential equations, however, in order to apply these methods to problems arising in science and engineering, usually it is inevitable to make modifications to the original problem to have a certain form required by the particular method. The Adomian Decomposition Method(ADM) has been proved useful in obtaining closed form or numerical approximations for the solutions of many such problems while making it possible to avoid linearizations and modifications to the original problem which could correspond to unrealistic assumptions. Besides, the resulting computation schemes are efficient with high accuracy and generally a rapidly convergent series solution is achieved. Being motivated with these facts, we apply the ADM to solve two-group neutron diffusion equations.