Abstract:
In chapter one we explained the Adomian Decomposition method and how to use it to solve ordinary differential equations (ODE) and gave some examples of linear and nonlinear ordinary differential equations with comparison of the results found by using ADM with those found by the analytic solution.
In chapter two we explained Modified Decomposition in solving ODE both linear and nonlinear, we also compare the results found to those found by ADM and we use MD to solve boundary value problem.
In Chapter three we concentrate on results obtained by using Adomain decomposition method with a new choice for the differential operator to solve Emden- Flower equation.
In Chapter four we solved higher Order Differential Equation Using Adomian decomposition method .we also solved the sixth order and eight order boundary value problems
