AN ADOMIAN DECOMPOSITION METHOD FOR AUTONOMOUS AND NON-AUTONOMOUS ORDINARY DIFFERENTIAL EQUATIONS

A lot of researchers have developed numerical schemes to solve initial value problems of ordinary differential equations. While some have tried to improve on the existing methods and their characteristics such as consistency, convergence and stability. This paper examines the Adomian decomposition method to solve autonomous and non-autonomous ordinary differential equations. Numerical examples are given to show the efficiency of the method. The results obtained show that the method is efficient and computationally stable.