Creator:

Rashidi, M. M. ; Rabiei, Faranak ; Nia, S. Naseri ; Abbasbandy, Saeid

Contributor:

Jurczak, Paweł - red.

Title:

A review: differential transform method for semi-analytical solution of differential equations

Group publication title:

IJAME, volume 25 (2020)

Subject and Keywords:

differential transform method ; differential transform-Padé approximation ; semi-analytical method ; differential equations ; fuzzy differential transformation method ; gS-differentiability

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2020

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.2478/ijame-2020-0024

Pages:

122-129

Source:

IJAME, volume 25, number 2 (2020)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego