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SOLVING DIFFERENTIAL EQUATIONS USING ADOMIAN DECOMPOSITION METHOD AND DIFFERENTIAL TRANSFORM METHOD
Advances in Differential Equations and Control Processes, 2018Summary: Many problems in science and engineering fields can be described by differential equations. In the early 1980's, an American applied mathematician George Adomian developed a powerful decomposition methodology for practical solution of differential equations known today as the Adomian decomposition method (ADM).
Ungani, T. P., Matabane, E.
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$��$-Parameterized Differential Transform Method
2015In this paper we propose a new version of differential transform method (we shall call this method as $ $-parameterized differential transform method), which differs from the traditional differential transform method in calculating coefficients of Taylor polynomials.
Aydemir, K., Mukhtarov, O. Sh.
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On two-dimensional $$q$$ -differential transform method
Afrika Matematika, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garg, Mridula, Chanchlani, Lata
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Differential transform method for solving Richards’ equation
Applied Mathematics and Mechanics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xi, Dai, Ying
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Reduced Differential Transform Method for Partial Differential Equations
International Journal of Nonlinear Sciences and Numerical Simulation, 2009Recently differential transform method (DTM) has been used to solve various partial differential equations. In this paper, an alternative approach called the reduced differential transform method (RDTM) is presented to overcome the demerit of complex calculation of differential transform method.
Keskin, Yildiray, Oturanc, Galip
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Solving fuzzy differential equations by differential transformation method
Information Sciences, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allahviranloo, T. +2 more
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Generalized differential transform method to differential-difference equation
Physics Letters A, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zou, Li, Wang, Zhen, Zong, Zhi
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Solution of differential–difference equations by using differential transform method
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arikoglu, Aytac, Ozkol, Ibrahim
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