Experimentation with two-step Adomian decomposition method to solve evolution models

The two-step Adomian decomposition method (TSADM) is derived by separate the standard Adomian decomposition method into two steps. Although the TSADM needs only a slight variation from the standard Adomian decomposition method, experimentation shows that the TSADM is also promising for systems of inhomogeneous differential and integral equations, hyperbolic partial differential equations and singular initial value problems.