Comparison Study of Adomian Decomposition Method (ADM), And Runge-Kutta Fourth-Order Method (RK4) Using Linear Differential Equaion.

Abstract

In this paper, we present a comparative analysis between Adomain Decomposition method (ADM) and Runge- Kutta Fourth-Order (RK4) Method. The study outlines the significant features of two approaches. We use these methods to solve the linear differential equation. In this article,the examples were computed by both the method and compared with the exact solution. Using Linear Differential Equation it is noted that RKM is considered to be the best method that is approximately equal to the exact solution. The RKM is perceived to be particularly suitable for initial value problem.