APPLICATION TO DIFFERENTIAL TRANSFORM METHOD FOR SOLVING INITIAL VALUE PROBLEM OF ORDINARY DIFFERENTIAL EQUATIONS

Abstract

In this paper, we present approximate and exact solution of initial value problems of ordinary differential equations (Odes) by using Differential Transform method (DTM). The concept of differential transform and some properties of differential transform also presented. Various examples of ordinary differential equations solved analytically and numerically, in order to test the ability and accuracy of differential transform method we compare the numerical and exact solution in graphically