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Research Article Open access CC BY 4.0

Useful Formulas for One-dimensional Differential Transform

Eman Anower Elmabrouk, Fawzi Abdelwahid

Current Journal of Applied Science and Technology · pp. 1–8 · Published 26 Dec 2016

10.9734/BJAST/2016/29916

Abstract

In this work, we introduced new useful formulas for one-dimensional differential transform and applied the differential transform method to selected linear ordinary differential equations. This study showed that this method is powerful and efficient in finding series solutions for linear differential equations and capable of reducing the size of calculations comparing with other methods.

Differential transform Taylor series method differential equations

Cited by 2

The Solutions of Legendre’s and Chebyshev’s Differential Equations by Using the Differential Transform Method

A. M. Alotaibi, M. A. El-Moneam, Badr S. Badr · Mathematical Problems in Engineering · 2022

A General Scheme for Solving Systems of Linear First-Order Differential Equations Based on the Differential Transform Method

Ahmed Hussein Msmali, A. M. Alotaibi, M. A. El-Moneam · Journal of Mathematics · 2021

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