The Finsler surface with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>K</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>J</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>

Zhou, Linfeng

doi:10.1016/j.difgeo.2014.02.003

Cited by 19 publications

(33 citation statements)

References 4 publications

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“…The Reduced differential transform method (RDTM) was first introduced in 2009 by Keskin and Oturanç [8], which is an extension of the differential transform method which was first submitted by Zhou [17]. RDTM is an iterative procedure for obtaining Taylor series solution of differential equations.…”

Section: Reduced Differential Transform (Rtd) Methods Basic Idea Of Thmentioning

confidence: 99%

Numerical solution of Fisher–KPP equation by using reduced differential transform method

Saeed¹,

Mustafa²

2017

AIP Conference Proceedings

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Section: Reduced Differential Transform (Rtd) Methods Basic Idea Of Thmentioning

confidence: 99%

Numerical solution of Fisher–KPP equation by using reduced differential transform method

Saeed¹,

Mustafa²

2017

AIP Conference Proceedings

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“…In 1987, the differential transformation method is introduced by Zhou [21] in the study of electric circuits. The method based on Taylor series and yields of differential transformation are difference equations which solutions give the exact values of derivatives of origin function at the given point.…”

Section: Differential Transformation Methodsmentioning

confidence: 99%

Solving Systems of Volterra Integral and Integrodifferential Equations with Proportional Delays by Differential Transformation Method

Yüzbaşı

Ismailov

2014

Journal of Mathematics

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In this paper, the differential transformation method is applied to the system of Volterra integral and integrodifferential equations with proportional delays. The method is useful for both linear and nonlinear equations. By using this method, the solutions are obtained in series forms. If the solutions of the problem can be expanded to Taylor series, then the method gives opportunity to determine the coefficients of Taylor series. Hence, the exact solution can be obtained in Taylor series form. In illustrative examples, the method is applied to a few types of systems.

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“…The unsteady MHD flow of Maxwell fluid over an impulsively stretching sheet was analyzed by Alizadeh-Pahlavan and Sadeghy [28] and the flow field equations are solved by the homotopy analysis method. Differential transform method is first used by Zhou [29] in solving circuit problems. The theory of two-dimensional differential transform method was proposed by Chen and Ho [30].…”

Section: Introductionmentioning

confidence: 99%

Influence of Cross-Diffusion on Slip Flow and Heat Transfer of Chemically Reacting UCM Fluid between Porous Parallel Plates with Hall and Ion Slip Currents

Ojjela

Kambhatla

Kumar

et al. 2016

Journal of Computational Engineering

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The present paper deals with the Hall and ion slip currents on an incompressible unsteady free convection flow and heat transfer of an upper convected Maxwell fluid between porous parallel plates with Soret and Dufour effects by considering the velocity slip and convective boundary conditions. Assume that there are periodic injection and suction at the lower and upper plates, respectively. The temperature and concentration at the lower and upper plates change periodically with time. The flow field equations are reduced to nonlinear ordinary differential equations by using similarity transformations and a semi-analytical-numerical solution has been obtained by the differential transform method. The velocity components, temperature distribution, and concentration with respect to different fluid and geometric parameters are discussed in detail and presented in the form of graphs. It is observed that the Biot number increases the temperature and concentration of the fluid. Further, the concentration of the fluid is enhanced whereas the temperature decreases with increasing slip. The present results are compared with the existing literature and are found to be in good agreement.

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The Finsler surface withK=0andJ=0

Cited by 19 publications

References 4 publications

Numerical solution of Fisher–KPP equation by using reduced differential transform method

Numerical solution of Fisher–KPP equation by using reduced differential transform method

Solving Systems of Volterra Integral and Integrodifferential Equations with Proportional Delays by Differential Transformation Method

Influence of Cross-Diffusion on Slip Flow and Heat Transfer of Chemically Reacting UCM Fluid between Porous Parallel Plates with Hall and Ion Slip Currents

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