Analytical approach on magnetohydrodynamic Casson fluid flow past a stretching sheet via Adomian decomposition method

Heat Transfer ◽  
2021 ◽  
Author(s):  
Ram Prakash Sharma ◽  
Satyaranjan Mishra
Keyword(s):  
Fluid Flow ◽  
Decomposition Method ◽  
Analytical Approach ◽  
Stretching Sheet ◽  
Adomian Decomposition Method ◽  
Casson Fluid ◽  
Flow Past ◽  
Adomian Decomposition

scholarly journals Approximate analytical solution of the MHD Powell-Eyring fluid flow near accelerated plate

2017 ◽  
Vol 13 (4-1) ◽  
pp. 416-420 ◽  
Author(s):  
Fawzia Mansour Elniel ◽  
Zainal Abdul Aziz ◽  
Faisal Salah ◽  
Shaymaa Mustafa
Keyword(s):  
Magnetic Field ◽  
Sensitivity Analysis ◽  
Shear Stress ◽  
Fluid Flow ◽  
Decomposition Method ◽  
Approximate Analytical Solution ◽  
Adomian Decomposition Method ◽  
Material Parameters ◽  
Non Linear Equation ◽  
Adomian Decomposition

 In this article, the non-linear equation of unsteady flow of Powell-Eyring fluid is solved by using Adomian Decomposition Method (ADM). The fluid is assumed to be flowing under the effect of magnetic field. The model is developed for the case of constant accelerated plate. Sensitivity analysis is performed to show the effects of material parameters on the velocity profile and shear stress at the wall. The results confirmed the suitability of ADM in solving nonlinear equations. 

scholarly journals A new semi-analytical approach for numerical solving of cauchy problem for differential equations with delay

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4725-4733 ◽  
Author(s):  
Josef Rebenda ◽  
Zdeněk Smarda ◽  
Yasir Khan
Keyword(s):  
Differential Equation ◽  
Cauchy Problem ◽  
Decomposition Method ◽  
Analytical Approach ◽  
Neutral Type ◽  
Adomian Decomposition Method ◽  
Initial Approximation ◽  
Current Approach ◽  
Symbolic Calculations ◽  
Adomian Decomposition

In the paper, we present new semi-analytical approach for FDE?s consisting in combination of the method of steps and a technique called differential transformation method (DTM). This approach reduces the original Cauchy problem for delayed or neutral differential equation to Cauchy problem for ordinary differential equation for which DTM is convenient and efficient method. Moreover, there is no need of any symbolic calculations or initial approximation guesstimates in contrast to methods like the homotopy analysis method, the homotopy perturbation method, the variational iteration method or the Adomian decomposition method. The efficiency of the proposed method is shown on certain classes of FDE?s with multiple constant delays including FDE of neutral type. We also compare it to the current approach of using DTM and the Adomian decomposition method where Cauchy problem is not well posed.

scholarly journals MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet

2013 ◽  
Vol 52 (4) ◽  
pp. 577-582 ◽  
Author(s):  
S. Nadeem ◽  
Rizwan Ul Haq ◽  
Noreen Sher Akbar ◽  
Z.H. Khan
Keyword(s):  
Fluid Flow ◽  
Stretching Sheet ◽  
Three Dimensional ◽  
Casson Fluid ◽  
Flow Past

scholarly journals Spectral Adomian Decomposition Method for the MHD Three-Dimensional Flow due to a Stretching Sheet in a Porous Medium

2021 ◽  
pp. 87-96
Author(s):  
Yassir Daoud ◽  
Mohammed Abdalbagi ◽  
Ahmed A. Khidir
Keyword(s):  
Porous Medium ◽  
Approximate Solution ◽  
Decomposition Method ◽  
Stretching Sheet ◽  
Three Dimensional ◽  
Adomian Decomposition Method ◽  
Physical Parameters ◽  
Three Dimensional Flow ◽  
Adomian Decomposition ◽  
Steady Laminar

An approximate solution is obtained of the steady, laminar three-dimensional ow for an incompressible, viscous uid past a stretching sheet using the Spectral Adomian Decomposition Method (SADM). The governing partial dierential equations are transformed into ordinary dierential equations using suitable transformations. A comparison between the obtained results with solutions obtained early in the literature and the numerical solution has been made to testthe validity, accuracy and convergence of the SADM. The eects of physical parameters on the velocity are determined and discussed.

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