Abstract: The Adomian decomposition method (ADM) is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be obtained by using only a few terms. However, in applications, we need to use it flexibly according to the real problem. In this paper, based on the ADM, we give a modified asymptotic Adomian decomposition method and use it to solve the nonlinear Boussinesq equation describing groundwater flows. The example shows effectiveness of the modified asymptotic Adomian decomposition method.

Key words: physical aging, polyvinyl chloride (PVC), glass transition temperature, creep, groundwater flow, Boussinesq equation, Adomian decomposition, asymptotic Adomian decomposition