Application of the differential transformation method for the solution of the hyperchaotic Rössler system

Al-Sawalha, M. Mossa; Noorani, Mohd Salmi Md

doi:10.1016/j.cnsns.2008.02.002

Cited by 51 publications

(30 citation statements)

References 21 publications

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“…One-variable differential transformation Using relevant references [1,2,4,6,[9][10][11][12][21][22][23][24][25][26][27][28][29] the fundamental definitions of the One-variable Differential Transformation are explained as follows:…”

Section: 1mentioning

confidence: 99%

Applications of differential transformation method to solve systems of ordinary and partial differential equations

Sarp¹,

Evirgen²,

Ikikardes³

2018

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Section: 1mentioning

confidence: 99%

Applications of differential transformation method to solve systems of ordinary and partial differential equations

Sarp¹,

Evirgen²,

Ikikardes³

2018

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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“…More materials of the classical solution techniques that are most commonly used to solve equations and systems, such as the Adomian decomposition method (ADM) are found in [22], Differential transformation method (DTM) [23], Homotopy analysis method (HAM) [24] and the Homotopy perturbation method (HPM) [25]. The VIM is the most effective and convenient one for both weakly and strongly nonlinear equations.…”

Section: Introductionmentioning

confidence: 99%

Variational Iteration Method for Solving Differential Equations with Piecewise Constant Arguments

Wang¹,

Fu²

2012

IJEM

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In this paper, variational iteration method is applied for finding the solution of differential equations with piecewise constant arguments. A correction functional is constructed by a general Lagrange multiplier, which can be identified by variational theory. This technique provides a sequence of functions which converges to the exact solution of the problem without discretization of the variables. The flexibility and adaptation provided by the method have been verified by an example.

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“…Another important advantage is that this method is capable of greatly reducing the size of computational work while still accurately providing the series solution with fast convergence rate. The DTM have been studied widely in physics and mathematics [2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of the avian-human influenza epidemic model using the semi-analytical method

2015

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Abstract:In this work, we present a dynamic behavior of the avian-human in uenza epidemic model by using ecient computational algorithm, namely the multistage differential transform method(MsDTM). The MsDTM is used here as an algorithm for approximating the solutions of the avian-human in uenza epidemic model in a sequence of time intervals. In order to show the e ciency of the method, the obtained numerical results are compared with the fourth-order Runge-Kutta method (RK4M) and di erential transform method(DTM) solutions. It is shown that the MsDTM has the advantage of giving an analytical form of the solution within each time interval which is not possible in purely numerical techniques like RK4M.

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Application of the differential transformation method for the solution of the hyperchaotic Rössler system

Cited by 51 publications

References 21 publications

Applications of differential transformation method to solve systems of ordinary and partial differential equations

Applications of differential transformation method to solve systems of ordinary and partial differential equations

Variational Iteration Method for Solving Differential Equations with Piecewise Constant Arguments

Dynamical analysis of the avian-human influenza epidemic model using the semi-analytical method

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