Using differential transform method and Pade approximation for solving MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet

Volume 17, Issue 1, pp 169-178 http://dx.doi.org/10.22436/jmcs.017.01.15

Publication Date: March 15, 2017 Submission Date: August 07, 2016

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Authors

M. A. Yousif - Department of Mathematics, Faculty of Science, University of Zakho, International Road Zakho-Duhok, P. O. Box 12, Duhok, Kurdistan Region, Iraq. B. A. Mahmood - Department of Mathematics, Faculty of Science, University of Duhok, Kurdistan Region, Iraq. M. M. Rashidi - Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai 201804, China.

Abstract

The problem of MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet is investigated analytically. Governing equations are reduced to a set of nonlinear ordinary differential equations using the similarity transformations, and solved via an efficient and suitable mathematical technique, named the differential transform method (DTM), in the form of convergent series, by applying Pad´e approximation. The results are compared with the results obtained by the shooting method of MATHEMATICA and with the fourth-order Runge-Kutta-Fehlberg results. The results of DTM-Pad´e are closer to numerical solutions than the results of DTM are. A comparison of our results with existing published results shows good agreement between them. Suitability end effectiveness of our method are illustrated graphically for various parameters. Moreover, it is also observed that the Casson fluid parameter, stretching parameter, Hartmann number and porosity parameter increase with increment in the velocity profiles.

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Keywords

• Casson model
• three-dimensional flow
• MHD flow
• porous sheet
• DTM- Pad´e.

MSC

•  35Q35
•  80M25

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