Numerical Solution of Second-Order Differential Equations by Differential Transformation Method (DTM)

: In this paper, the differential transformation method (DTM) is used to find numerical solution of the second-order differential equations (exponential type).The method reduces the equations to recurrence relations which is further to approximate solutions.Comparing the method with the exact solution shows that the present approach is effective and powerful. Four modeling problems from mathematical physics are discussed to illustrate the effectiveness and the performance of the proposed method. The results demonstrate reliability and efficiency of this method for second order differential equations.