The Differential Transform Method (DTM): Solution of Differential Equations

In this chapter, linear and nonlinear differential equations are solved. The calculations are carried out by using
differential transformation method (DTM) which is a semi-numerical–analytical solution technique. By using
DTM, the nonlinear constrained governing equations are reduced to recurrence relations and related initial
conditions are transformed into a set of algebraic equations. The properties of differential transformation is
briefly introduced, and then applied for the number of problems. The current results are then compared with
those derived from the classical Runge-Kutta method (RK4) order to verify the accuracy of the proposed
method. The findings disclose that the DTM can achieve more suitable results in predicting the solution of such
problems.