ABSTRACT
In this article, Adomian Decomposition Method, well addressed in [2, 3], has been employed to solve the two concrete problems: Polymer rheology, and recurrent epidemic model, Mathematical modeling of the first one leads to a system of three nonlinear Volterra integral equations, and the second one to a system of three nonlinear ordinary differential equations. Mathematical modeling of numerous scientific and engineering experimentations lead to such systems. These systems have attracted much attention and solution of these systems have been one of the interesting works for mathematicians. Author has extended ADM for solving these systems.
