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Reduced differential transform method for improved Boussinesq equation
AIP Conference Proceedings, 2015In this paper, the approximate solution of improved Boussinesq equation was found through reduced differential transform method. The equation has been used in many mathematical, engineering problems and mathematical physics. It is known a complicated and time-consuming solution. These problems were overcome by RDTM.
Servi, Sema +2 more
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REDUCED DIFFERENTIAL TRANSFORM METHOD FOR NONLINEAR SCHRÖDINGER EQUATION
Far East Journal of Dynamical Systems, 2015Summary: In this paper, the reduced differential transform method is presented for the solutions of the nonlinear Schrödinger equation. This method, which does not require any symbolic computation, provides an iterative procedure for obtaining analytic and approximate solutions of differential equations.
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DIFFERENTIAL TRANSFORMATION METHOD FOR NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS
2016This work presents solution of nonlinear differential-difference equations such as the discretized mKdV lattice equation, the discretized nonlinear Schrödinger equation and the Toda Lattice equation by Differential Transformation Method (DTM). This method provides more realistic solutions by solving the nonlinear differential equations without any ...
ÇELİK, İbrahim, ESKİN, Duygu
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One-Dimensional Differential Transform Method
2022Yogeshwari F Patel, Jayesh M Dhodiya
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Two-Dimensional Differential Transform Method
2022Yogeshwari F Patel, Jayesh M Dhodiya
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ON A NEW DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS
Asian-European Journal of Mathematics, 2013The main difficulty in solving nonlinear differential equations by the differential transformation method (DTM) is how to treat complex nonlinear terms. This method can be easily applied to simple nonlinearities, e.g. polynomials, however obstacles exist for treating complex nonlinearities. In the latter case, a technique has been recently proposed to
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2011
Summary: In this paper, we implement the fractional differential transform method (FDTM), which is a semi analytical numerical technique, to fractional differential-algebraic equations (FDAEs). The fractional derivatives are described in the Caputo sense. The method provides the solution in the form of a rapidly convergent series.
BAYRAM, Mustafa +2 more
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Summary: In this paper, we implement the fractional differential transform method (FDTM), which is a semi analytical numerical technique, to fractional differential-algebraic equations (FDAEs). The fractional derivatives are described in the Caputo sense. The method provides the solution in the form of a rapidly convergent series.
BAYRAM, Mustafa +2 more
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Introduction to Differential Transformation Method
2017Mohammad Hatami +2 more
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