A General Solution for Troesch's Problem

The homotopy perturbation method (HPM) is employed to obtain an approximate solution for the nonlinear differential equation which describes Troesch’s problem. In contrast to other reported solutions obtained by using variational iteration method, decomposition method approximation, homotopy analysi...

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Bibliographic Details
Main Authors: Hector Vazquez-Leal, Yasir Khan, Guillermo Fernández-Anaya, Agustín Herrera-May, Arturo Sarmiento-Reyes, Uriel Filobello-Nino, Víctor-M. Jimenez-Fernández, Domitilo Pereyra-Díaz
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/208375
Description
Summary:The homotopy perturbation method (HPM) is employed to obtain an approximate solution for the nonlinear differential equation which describes Troesch’s problem. In contrast to other reported solutions obtained by using variational iteration method, decomposition method approximation, homotopy analysis method, Laplace transform decomposition method, and HPM method, the proposed solution shows the highest degree of accuracy in the results for a remarkable wide range of values of Troesch’s parameter.
ISSN:1024-123X
1563-5147