Skip to content
Research Article Open access CC BY 4.0

Convergence of Differential Transform Method for Ordinary Differential Equations

A. S. Oke

Journal of Advances in Mathematics and Computer Science · pp. 1–17 · Published 10 Oct 2017

10.9734/JAMCS/2017/36489

Abstract

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.

Differential transform inverse differential transform homogeneous ODE nonhomogeneous ODE

Cited by 73

Exploration of the effects of Coriolis force and thermal radiation on water-based hybrid nanofluid flow over an exponentially stretching plate

A. Oke, B. C. Prasannakumara, W. N. Mutuku · Scientific Reports · 2022

Exploration of ternary-hybrid nanofluid experiencing Coriolis and Lorentz forces: case of three-dimensional flow of water conveying carbon nanotubes, graphene, and alumina nanoparticles

A. S. Oke, E. Fatunmbi, I. L. Animasaun · Waves in Random and Complex Media · 2022

Analytical approximate solution of fractional order smoking epidemic model

Hatıra Günerhan, H. Rezazadeh, W. Adel · Advances in Mechanical Engineering · 2022

Combined effects of Coriolis force and nanoparticle properties on the dynamics of gold–water nanofluid across nonuniform surface

A. S. Oke · ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2022

Male Circumcision: A Means to Reduce HIV Transmission between Truckers and Female Sex Workers in Kenya

Ancent Kimulu, W. N. Mutuku, S. Mwalili · Journal of Mathematical Analysis and Modeling · 2022

Heat and Mass Transfer in 3D MHD Flow of EG-Based Ternary Hybrid Nanofluid Over a Rotating Surface

A. S. Oke · The Arabian journal for science and engineering · 2022

Coriolis effects on MHD flow of MEP fluid over a non-uniform surface in the presence of thermal radiation

A. S. Oke · International Communications in Heat and Mass Transfer · 2021

Theoretical Analysis of Modified Eyring Powell Fluid flow

A. S. Oke · Journal of the Taiwan Institute of Chemical Engineers / Elsevier · 2021

Mathematical analysis of the dynamics of COVID‐19 in Africa under the influence of asymptomatic cases and re‐infection

A. S. Oke, O. Bada, Ganiyu Rasaq · Mathematical methods in the applied sciences · 2021

An Approximate Solution to Predator-prey Models Using The Differential Transform Method and Multi-step Differential Transform Method, in Comparison with Results of The Classical Runge-kutta Method

Adeniji A. A., Noufe H. A., Mkolesia A. C. · Mathematics and Statistics · 2021

Showing 42 of 73 known citations — external sources report more than can currently be individually listed.

Related research

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.