Autor:
Rashidi, M. M. ; Rabiei, Faranak ; Nia, S. Naseri ; Abbasbandy, Saeid
Współtwórca:
Tytuł:
A review: differential transform method for semi-analytical solution of differential equations
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Data wydania:
Typ zasobu:
Format:
DOI:
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Źródło:
IJAME, volume 25, number 2 (2020)