International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue III, February 2020 | ISSN 2454–6186

 Differential Transform Method (DTM) for the
Solution of Linear Ordinary Differential Equations of
First Order, Second Order and Third Order

Ogwumu, O.D.1*, Kyaga T.Y. 2 , Amakoromo G.I.3 , Bawuru A. F. 4 , Ogofotha M. O. 5 , Ezeh A.T.6 , Elugah J.I.7 and Ogbaji E.O.8
(1,2,3,4,5,6,7&8) Department of Mathematics and Statistics, Federal University Wukari, Nigeria
*Corresponding Author

Abstract: – In this study, the analysis of Differential Transform Method (DTM) for the solution Ordinary Differential Equation was explored. The solution to the Differential Equations addressed in this study were presented via Differential Transform Method for problems such as 1st, 2nd and 3rd order linear differential equations respectively. Similarly, comparisons between the exact solution to the problems and their DTM results were made in tabular form. The outcome of the comparison showed that our numerical results compete favourably with the exact solutions of the problems considered.

Keywords: Transforms, Differential Transform Method (DTM), Numerical solution, first, second and third Order Differential Equations, Tabular comparison, exact solution