Differential transform method: A comprehensive review and analysis [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 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 ...
S.H. Hashemi Mehne
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A Numerical Method for Partial Differential Algebraic Equations Based on Differential Transform Method [PDF]
Abstract and Applied Analysis, 2013 We have considered linear partial differential algebraic equations (LPDAEs) of the form , which has at least one singular matrix of . We have first introduced a uniform differential time index and a differential space index.
Murat Osmanoglu, Mustafa Bayram
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Differential transform method for conformable fractional partial differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential transform method, fractional power series expansions, and conformable fractional derivative.
M. Eslami, S.A. Taleghani
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Modified Reduced Differential Transform Method for Partial Differential-Algebraic Equations
Journal of Applied Mathematics, 2014 This work presents the application of the reduced differential transform method (RDTM) to find solutions of partial differential-algebraic equations (PDAEs).
Brahim Benhammouda +2 more
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Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain
International Journal of Applied Mechanics and Engineering, 2021 In the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts.
K.K. Chaudhari, C.S. Sutar
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New transform formulae for differential transformation method with applications to the nonlinear plane autonomous systems [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 This work presents a new derivation technique for new differential transform formulae of a product of composite functions. The new formulae are applied to nonlinear plane autonomous systems to demonstrate their efficiency and reliability.
Uraiwan Somboon +2 more
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A Review: Differential Transform Method for Semi-Analytical Solution of Differential Equations
International Journal of Applied Mechanics and Engineering, 2020 In this article, the semi-analytical method known as the Differential Transform Method (DTM) for solving different types of differential equations is reviewed.
M.M. Rashidi +3 more
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A Cumulative Study on Differential Transform Method [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 Many real-world phenomena when modelled as a differential equation don't generally have exact solutions, so their numerical or analytic solutions are sought after.
Geeta Arora, Pratiksha
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Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method
Nonlinear Engineering, 2022 This work is an experiment to solve the fractional diffusion equation in two dimensions with a novel hybrid method. The method involves an amalgamation of the well-known differential transform method and the differential quadrature method.
Devshali Pratiksha, Arora Geeta
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Ain Shams Engineering Journal, 2021 In this study, the multi-step fractional differential transform method (MSFDTM) is employed to obtain approximate analytical solutions of stiff systems of fractional order. The fractional derivative is described in the Caputo sense.
Hytham.A. Alkresheh, Ahmad Izani Ismail
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