Comparison in Between Differential Transformation Method and Power Series Method for $13^{th}$ Order Differential Equation with Boundary Value Problems

Abstract

Differential transformation method is proposed to discover the solution of the higher order differential equations with the boundary value problem. The estimated solution of the problem is represented in the form of a rapid convergent series. A numerical example has been considered to demonstrate the effectiveness, exactness and implementation of the method and the results are compared with the exact solution. Afterward in the form of results are revealed graphically. The numerical result find by DTM are compared with the solution which are find by Power series Method and other presented method for instance the Variational Iteration Method (VIM) presented in this paper.