**Commenced**in January 2007

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**Edition:**International

**Paper Count:**31100

##### A Comparison Study of a Symmetry Solution of Magneto-Elastico-Viscous Fluid along a Semi- Infinite Plate with Homotopy Perturbation Method and4th Order Runge–Kutta Method

**Authors:**
Mohamed M. Mousa,
Aidarkhan Kaltayev

**Abstract:**

The equations governing the flow of an electrically conducting, incompressible viscous fluid over an infinite flat plate in the presence of a magnetic field are investigated using the homotopy perturbation method (HPM) with Padé approximants (PA) and 4th order Runge–Kutta method (4RKM). Approximate analytical and numerical solutions for the velocity field and heat transfer are obtained and compared with each other, showing excellent agreement. The effects of the magnetic parameter and Prandtl number on velocity field, shear stress, temperature and heat transfer are discussed as well.

**Keywords:**
Maple,
Homotopy Perturbation Method,
Electrically conducting elastico-viscous fluid,
symmetry solution,
Padé
approximation

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1082163

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