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Approximate Solutions for Flow with a Stretching Boundary due to Partial Slip
Author(s) -
U. Filobello-Nino,
Héctor Vázquez-Leal,
Arturo Sarmiento-Reyes,
Brahim Benhammouda,
V. M. Jiménez-Fernández,
D. Pereyra-Díaz,
A. Pérez-Sesma,
Juan Cervantes Pérez,
J. Huerta-Chua,
J. Sánchez-Orea,
A. D. Contreras-Hernandez
Publication year - 2014
Publication title -
international scholarly research notices
Language(s) - English
Resource type - Journals
ISSN - 2356-7872
DOI - 10.1155/2014/747098
Subject(s) - slip (aerodynamics) , homotopy perturbation method , homotopy analysis method , partial differential equation , nonlinear system , boundary value problem , laplace transform , mathematics , homotopy , computer science , flow (mathematics) , perturbation (astronomy) , mechanics , mathematical analysis , geometry , physics , thermodynamics , quantum mechanics , pure mathematics
The homotopy perturbation method (HPM) is coupled with versions of Laplace-Padé and Padé methods to provide an approximate solution to the nonlinear differential equation that describes the behaviour of a flow with a stretching flat boundary due to partial slip. Comparing results between approximate and numerical solutions, we concluded that our results are capable of providing an accurate solution and are extremely efficient.

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