Differential transform method: A comprehensive review and analysis

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJNAO-12-23_008

تاریخ نمایه سازی: 17 آبان 1401

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 notable 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.

Authors

Seyed Hamed Hashemi Mehne

Aerospace Research Institute, Tehran, Iran