1. bookVolume 25 (2020): Issue 2 (June 2020)
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19 Apr 2013
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access type Open Access

A Review: Differential Transform Method for Semi-Analytical Solution of Differential Equations

Published Online: 05 Jun 2020
Page range: 122 - 129
Received: 10 Jul 2019
Journal Details
License
Format
Journal
First Published
19 Apr 2013
Publication timeframe
4 times per year
Languages
English

In this article, the semi-analytical method known as the Differential Transform Method (DTM) for solving different types of differential equations is reviewed. First, basic definitions and formulas of DTM and Differential Transform-Padé approximation (DTM-Padé), which are used to increase the convergence and accuracy of DTM approximations, are discussed. Then both techniques of DTM and DTM-Padé, which have been successfully applied to partial differential equations, as well as the application of these methods in fluid mechanic and heat transfer are presented. In addition, the extension of DTM for integral differential equations and the fuzzy differential transformation method (FDTM) for fuzzy problems are discussed.

Keywords

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