Numerical technique for solving First- Order System Ordinary Differential Equations

Abstract

In this article, the numerical method is presented to find a numerical solution (NS) of system ordinary differential equations(SODEs) by using Differential transform method (DTM) .Different kinds of linear system ordinary differential equations have been solved using  the presented method with the initial conditions, at any point this method transformed the SODEs into a series.Then it solved by using soft ware-MATLAB.Two different examples have presented to shown the efficiency and activity of the method.The solutions of the techniqued method outperformed the other methods in terms of accuracy and quickly converging.