Differential transform method: A comprehensive review and analysis

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Hashemi Mehne H.

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2022 | Volume:12 | Issue:3 Page(s): 629-657

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Information Journal Paper

Title

Differential transform method: A comprehensive review and analysis

Author(s)

Hashemi Mehne H. | Issue Writer Certificate

Keywords

Boundary value problems

Initial value problems

Differential Transform Method

Semi-analytical methods

Abstract

The complexity of solving differential equations in real-world applications motivates researchers to extend numerical methods. Among different numerical and Semi-analytical methods for solving initial and Boundary value problems, the Differential Transform Method (DTM) has received no-table attention. It has developed and experienced generalizations for implementing other types of mathematical problems such as optimal control, calculus of variations, and integral equations. This review aims to provide insight into DTM. History, theoretical base, applications, computational aspects, and its revisions are reviewed. The present study helps to understand the theory, capabilities, and features of the DTM, as well as its drawbacks and limitations.

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