Solution analysis of a 3rd order initial value problem

Abstract

In this article, we have used DT Method (Differential Transform Method) and Numerical Differentiation Method to solve a third order initial value problem. We observed that the solutions by these methods are very close to the exact solution. The methods have been demonstrated and hence the superiority of the ND Method is observed. A numerical example is illustrated by using DT and ND methods and the results were compared with exact solution.