InternationaleJournals

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, Email:vishwa72@gmail.com, gbonsa.kena@gmail.com

3Department of Mathematics, Kakatiya Institute of Technology and Science, Hanamkonda, Warangal, Andra Pradesh, India -506015, Email:patibanda20@yahoo.co.in

ABSTRACT:

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