Nonlinearities Distribution Homotopy Perturbation Method Applied to Solve Nonlinear Problems: Thomas-Fermi Equation as a Case Study

U. Filobello-Nino; H. Vazquez-Leal; K. Boubaker; A. Sarmiento-Reyes; A. Perez-Sesma; A. Diaz-Sanchez; V. M. Jimenez-Fernandez; J. Cervantes-Perez; J. Sanchez-Orea; J. Huerta-Chua; L. J. Morales-Mendoza; M. Gonzalez-Lee; C. Hernandez-Mejia; F. J. Gonzalez-Martinez

doi:10.1155/2015/405108

Journal of Applied Mathematics (Jan 2015)

Nonlinearities Distribution Homotopy Perturbation Method Applied to Solve Nonlinear Problems: Thomas-Fermi Equation as a Case Study

U. Filobello-Nino,
H. Vazquez-Leal,
K. Boubaker,
A. Sarmiento-Reyes,
A. Perez-Sesma,
A. Diaz-Sanchez,
V. M. Jimenez-Fernandez,
J. Cervantes-Perez,
J. Sanchez-Orea,
J. Huerta-Chua,
L. J. Morales-Mendoza,
M. Gonzalez-Lee,
C. Hernandez-Mejia,
F. J. Gonzalez-Martinez

Affiliations

U. Filobello-Nino: Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico
H. Vazquez-Leal: Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico
K. Boubaker: Equipe de Physique des Dispositifs à Semiconducteurs, Faculté des Sciences de Tunis, Tunis El Manar University, 2092 Tunis, Tunisia
A. Sarmiento-Reyes: National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro No. 1, Santa María Tonantzintla, 72840 Puebla, PUE, Mexico
A. Perez-Sesma: Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico
A. Diaz-Sanchez: National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro No. 1, Santa María Tonantzintla, 72840 Puebla, PUE, Mexico
V. M. Jimenez-Fernandez: Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico
J. Cervantes-Perez: Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico
J. Sanchez-Orea: Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico
J. Huerta-Chua: Civil Engineering School, Universidad Veracruzana, Venustiano Carranza S/N, Colonia Revolucion, 93390 PozaRica, VER, Mexico
L. J. Morales-Mendoza: Department of Electronics Engineering, Universidad Veracruzana, Venustiano Carranza S/N, Colonia Revolucion, 93390 Poza Rica, VER, Mexico
M. Gonzalez-Lee: Department of Electronics Engineering, Universidad Veracruzana, Venustiano Carranza S/N, Colonia Revolucion, 93390 Poza Rica, VER, Mexico
C. Hernandez-Mejia: National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro No. 1, Santa María Tonantzintla, 72840 Puebla, PUE, Mexico
F. J. Gonzalez-Martinez: Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico

DOI: https://doi.org/10.1155/2015/405108
Journal volume & issue: Vol. 2015

Abstract

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We propose an approximate solution of T-F equation, obtained by using the nonlinearities distribution homotopy perturbation method (NDHPM). Besides, we show a table of comparison, between this proposed approximate solution and a numerical of T-F, by establishing the accuracy of the results.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/jam/

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