Semi-Analytical and Numerical Solutions for Nonlinear Problem of Unsteady Squeezing Ferro-Fluid Flow Between Stretchable/Shrinkable Walls Under External Magnetic Field and Thermal Radiation Using Differential Transformation Method

2019 ◽  
Vol 8 (2) ◽  
pp. 297-307 ◽  
Author(s):  
M. Kezzar ◽  
I. Tabet ◽  
N. Nafir
Keyword(s):  
Magnetic Field ◽  
Fluid Flow ◽  
External Magnetic Field ◽  
Thermal Radiation ◽  
Nonlinear Problem ◽  
Numerical Solutions ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Differential Transformation ◽  
Analytical And Numerical Solutions

Implementation of DTM as a numerical study for the Casson fluid flow past an exponentially variable stretching sheet with thermal radiation

2021 ◽  
pp. 2150111
Author(s):  
Khadijah M. Abualnaja
Keyword(s):  
Fluid Flow ◽  
Thermal Radiation ◽  
Numerical Method ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Numerical Study ◽  
Transformation Method ◽  
Casson Fluid ◽  
Physical Parameters ◽  
Special Cases

This paper introduces a theoretical and numerical study for the problem of Casson fluid flow and heat transfer over an exponentially variable stretching sheet. Our contribution in this work can be observed in the presence of thermal radiation and the assumption of dependence of the fluid thermal conductivity on the heat. This physical problem is governed by a system of ordinary differential equations (ODEs), which is solved numerically by using the differential transformation method (DTM). This numerical method enables us to plot figures of the velocity and temperature distribution through the boundary layer region for different physical parameters. Apart from numerical solutions with the DTM, solutions to our proposed problem are also connected with studying the skin-friction coefficient. Estimates for the local Nusselt number are studied as well. The comparison of our numerical method with previously published results on similar special cases shows excellent agreement.

scholarly journals Evaluation of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field by the differential transformation method

2012 ◽  
Vol 16 (5) ◽  
pp. 1281-1287 ◽  
Author(s):  
Hossein Yahyazadeh ◽  
Domairry Ganji ◽  
Arash Yahyazadeh ◽  
Taghi Khalili ◽  
Payam Jalili ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Stretching Sheet ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Differential Transformation ◽  
Flow And Heat Transfer

In the present study, the convective flow and heat transfer of an incompressible viscous nanofluid past a semi-infinite vertical stretching sheet in the presence of a magnetic field are investigated. The governing partial differential equations with the auxiliary conditions are reduced to ordinary differential equations with the appropriate corresponding conditions via scaling transformations. The semi-analytical solutions of the resulting ordinary differential equations are obtained using differential transformation method coupled with Pade approximation. Comparison with published results is presented which reveals that the applied method is sufficiently accurate for engineering applications.

Application to Fractional Differential Transformation Method for Solving Fractional SIRC Model and Influenza A

2016 ◽  
Vol 13 (10) ◽  
pp. 7018-7024
Author(s):  
M. M Khader ◽  
M. Motawi Khashan
Keyword(s):  
Influenza A ◽  
Fractional Derivatives ◽  
Numerical Solutions ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Differential Transformation ◽  
Promising Tool ◽  
Runge Kutta Method ◽  
Proposed Model ◽  
Fractional Differential

In this paper, fractional differential transformation method (FDTM) is performed to give approximate and analytical solutions of nonlinear system of fractional differential equations (FDEs) such as a model for fractional SIRC associated with the evolution of influenza A disease in human population. The fractional derivatives are described in the Caputo sense. Special attention is given to present the local stability of the proposed model. The proposed method introduces a promising tool for solving many nonlinear FDEs. The numerical solutions obtained from the proposed method indicate that the approach is easy to implement and accurate when applied to systems of FDEs. We compared our numerical solutions with those numerical solutions using fourth-order Runge-Kutta method and Chebyshev spectral method. Some figures are presented to show the reliability and the simplicity of the methods.

Differential transformation method for circular membrane vibrations

2020 ◽  
Vol 61(12) (2) ◽  
pp. 333-350
Author(s):  
Jaipong Kasemsuwan ◽  
◽  
Sorin Vasile Sabau ◽  
Uraiwan Somboon ◽  
◽  
...  
Keyword(s):  
Transformation Method ◽  
Differential Transformation Method ◽  
Circular Membrane ◽  
Differential Transformation ◽  
Membrane Vibrations
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