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Title

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

Majeed A. Yousif
Bewar A. Mahmood
M. M. Rashidic
Journal / Anthology

Journal of Mathematics and Computer Science
Year: 2017
Volume: 17
Page range: 169-178
Description

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 PadŽe 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-PadŽe 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
Subjects

*Applied Mathematics
*Applied Mathematics > Computer Science