A General Solution for Troesch's Problem-Reference-Cited by-同舟云学术

A General Solution for Troesch's Problem

Published:2012 Issue: Volume:2012 Page:1-14
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Vazquez-Leal Hector¹,Khan Yasir²,Fernández-Anaya Guillermo³,Herrera-May Agustín⁴,Sarmiento-Reyes Arturo⁵,Filobello-Nino Uriel¹,Jimenez-Fernández Víctor-M.¹,Pereyra-Díaz Domitilo¹

Affiliation:

1. Electronic Instrumentation and Atmospheric Sciences School, University of Veracruz, Xalapa, VER 91000, Mexico

2. Department of Mathematics, Zhejiang University, Hangzhou 310027, China

3. Departamento de Física y Matemáticas, Universidad Iberoamericana, Prolongación Paseo de la Reforma 880, 01219 Mexico DF, Mexico

4. Micro and Nanotechnology Research Center, University of Veracruz, Calzada Ruiz Cortines 455, 94292 Boca del Rio, VER, Mexico

5. National Institute for Astrophysics, Optics and Electronics Luis Enrique Erro No.1, 72840 Santa María Tonantzintla, PUE, Mexico

Abstract

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.

Funder

Consejo Nacional de Ciencia y Tecnología

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2012/208375.pdf

Reference53 articles.

1. On the Confinement of a Plasma by Magnetostatic Fields

2. A Model for Discharge of Storage Batteries

3. On the closed form solution of Troesch's problem

4. Numerical solution of Troesch’s problem by simple shooting method

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