Convergence of Differential Transform Method for Ordinary Differential Equations
Journal of Advances in Mathematics and Computer Science · pp. 1–17 · Published 10 Oct 2017
10.9734/JAMCS/2017/36489Abstract
Differential transform method (DTM) as a method for approximating solutions to differential equations have many theorems that are often used without recourse to their proofs. In this paper, attempts are made to compile these proofs. This paper also proceeds to establish the convergence of the DTM for ordinary differential equations. This paper establishes that if the solution of an ordinary differential equation can be written as Taylors' expansion, then the solution can be obtained using the DTM. This is also demonstrated with some numerical examples.
Cited by 73
A. S. Oke, F. M. Okafor, Victoria Adodo · 2019
Ajibade Ao, O. Po · 2019
Rakhee Basu · Rocky Mountain Journal of Mathematics · 2021
Mohd Khalid, Gladys Tharapatla, G.Venkata Ramana Reddy · Boletim da Sociedade Paranaense de Matemática · 2025
Leelavathi R, Seethamahalakshmi Vyakaranam, Rao TS · CFD Letters · 2024
Abayomi S OKE, Winifred N MUTUKU · Pramana · 2021
J. C. Umavathi, D. G. Prakasha, Yousef M. Alanazi · International Journal of Modern Physics B · 2022
V.Seethamahalakshmi, Leelavathi Rekapalli, T.S.Rao · CFD Letters · 2023
Tabitha Ong’au, Johanna Sigey, Viona Ojiambo · Applied and Computational Mathematics · 2026
Robert N. Andima, Winifred N. Mutuku, Nyabadza Farai · OALib · 2022
Showing 42 of 73 known citations — external sources report more than can currently be individually listed.
Related research
- Useful Formulas for One-dimensional Differential Transform — shares topic coverage
Article metrics
Real usage data collected on this platform.
80
Page views
0
PDF downloads
5
Outbound clicks
73
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.