Solution of Second Order Initial Value Problem By Differential Transform Method

S.Vishwa Prasad Rao1 , Geremew Kenassa2  and P.S.Rama Chandra Rao3

1,2 Department of Mathematics, College of Natural and Computational Science, Wollega University, Nekemte, Ethiopia,,

3Department of Mathematics, Kakatiya Institute of Technology and Science, Hanamkonda, Warangal, Andra Pradesh, India -506015,


In this paper, we applied Differential Transform Method (DT Method) to solve a second order initial value problem and comparing with other methods Multi-Step method and Implicit method. The methods are demonstrated and the superiority of the methods is discussed. A numerical experiment is given by applying DT Method, Numerov’s method and the numerical differentiation methods of the corresponding orders.

Keywords: Differential Transform Method(DT Method), Multi-Step methods, Special Multi Step methods, Numerical Differentiation, Initial Value Problem





International eJournal of Mathematical Sciences, Technology and Humanities

Volume 6, Issue 1, Pages:  22 - 31