A General Solution for Troesch's Problem

作者:Vazquez Leal Hector*; Khan Yasir; Fernandez Anaya Guillermo; Herrera May Agustin; Sarmiento Reyes Arturo; Filobello Nino Uriel; Jimenez Fernandez Victor M; Pereyra Diaz Domitilo
来源:Mathematical Problems in Engineering, 2012, 208375.
DOI:10.1155/2012/208375

摘要

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.

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