ABSTRACT
Adomian devised a new approach for precisely solving nonlinear functional equations of various types, known as the Adomian decomposition method (ADM). For solving ordinary and partial nonlinear differential equations, the Adomian decomposition approach is semi-analytical. The ADM correctly computes the series solution, critical in applied science. Several methods are being developed to obtain a general solution of ordinary differential equations. Many real-life problems are not amenable to solutions by these methods. Numerical methods have been developed to approximate such problems to any desired degree of accuracy. These methods obtain particular solutions in a tabular form. That is, numerical methods get the values of the dependent variable at discrete points of the independent variable.
