The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions

U. Filobello-Nino; H. Vazquez-Leal; A. Sarmiento-Reyes; A. Perez-Sesma; L. Hernandez-Martinez; A. Herrera-May; V. M. Jimenez-Fernandez; A. Marin-Hernandez; D. Pereyra-Diaz; A. Diaz-Sanchez

doi:doi:10.11648/j.acm.20130206.16

The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions

U. Filobello-Nino, H. Vazquez-Leal, A. Sarmiento-Reyes, A. Perez-Sesma, L. Hernandez-Martinez, A. Herrera-May, V. M. Jimenez-Fernandez, A. Marin-Hernandez, D. Pereyra-Diaz, A. Diaz-Sanchez

Published in Applied and Computational Mathematics (Volume 2, Issue 6)

Received: 28 October 2013 Published: 30 November 2013

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Abstract

In this paper, we present Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for differential equations related with heat transfer phenomena. Comparing figures between approximate and exact solutions, show the effectiveness of the method.

Published in	Applied and Computational Mathematics (Volume 2, Issue 6)
DOI	10.11648/j.acm.20130206.16
Page(s)	143-148
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Dirichlet Boundary conditions, Mixed Boundary Conditions, Nonlinear Differential Equation, Perturbation Method, Approximate Solutions

References

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APA Style

U. Filobello-Nino, H. Vazquez-Leal, A. Sarmiento-Reyes, A. Perez-Sesma, L. Hernandez-Martinez, et al. (2013). The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions. Applied and Computational Mathematics, 2(6), 143-148. https://doi.org/10.11648/j.acm.20130206.16

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ACS Style

U. Filobello-Nino; H. Vazquez-Leal; A. Sarmiento-Reyes; A. Perez-Sesma; L. Hernandez-Martinez, et al. The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions. Appl. Comput. Math. 2013, 2(6), 143-148. doi: 10.11648/j.acm.20130206.16

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AMA Style

U. Filobello-Nino, H. Vazquez-Leal, A. Sarmiento-Reyes, A. Perez-Sesma, L. Hernandez-Martinez, et al. The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions. Appl Comput Math. 2013;2(6):143-148. doi: 10.11648/j.acm.20130206.16

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@article{10.11648/j.acm.20130206.16,
  author = {U. Filobello-Nino and H. Vazquez-Leal and A. Sarmiento-Reyes and A. Perez-Sesma and L. Hernandez-Martinez and A. Herrera-May and V. M. Jimenez-Fernandez and A. Marin-Hernandez and D. Pereyra-Diaz and A. Diaz-Sanchez},
  title = {The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions},
  journal = {Applied and Computational Mathematics},
  volume = {2},
  number = {6},
  pages = {143-148},
  doi = {10.11648/j.acm.20130206.16},
  url = {https://doi.org/10.11648/j.acm.20130206.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20130206.16},
  abstract = {In this paper, we present Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for differential equations related with heat transfer phenomena. Comparing figures between approximate and exact solutions, show the effectiveness of the method.},
 year = {2013}
}

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TY  - JOUR
T1  - The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions
AU  - U. Filobello-Nino
AU  - H. Vazquez-Leal
AU  - A. Sarmiento-Reyes
AU  - A. Perez-Sesma
AU  - L. Hernandez-Martinez
AU  - A. Herrera-May
AU  - V. M. Jimenez-Fernandez
AU  - A. Marin-Hernandez
AU  - D. Pereyra-Diaz
AU  - A. Diaz-Sanchez
Y1  - 2013/11/30
PY  - 2013
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DO  - 10.11648/j.acm.20130206.16
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 143
EP  - 148
PB  - Science Publishing Group
SN  - 2328-5613
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AB  - In this paper, we present Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for differential equations related with heat transfer phenomena. Comparing figures between approximate and exact solutions, show the effectiveness of the method.
VL  - 2
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Author Information

U. Filobello-Nino

Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000
H. Vazquez-Leal

Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000
A. Sarmiento-Reyes

National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro #1, Sta. María Tonantzintla. Puebla, México, 72840
A. Perez-Sesma

Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000
L. Hernandez-Martinez

National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro #1, Sta. María Tonantzintla. Puebla, México, 72840
A. Herrera-May

Micro and Nanotechnology Research Center, Universidad Veracruzana, Calzada, Ruiz Cortines, Boca del Rio 94292, Veracruz, Mexico
V. M. Jimenez-Fernandez

Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000
A. Marin-Hernandez

Department of Artificial Intelligence, Universidad Veracruzana, Sebastián Camacho No. 5, C.P. 91000 Xalapa, Veracruz, Mexico
D. Pereyra-Diaz

Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000
A. Diaz-Sanchez

National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro #1, Sta. María Tonantzintla. Puebla, México, 72840

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APA Style

U. Filobello-Nino, H. Vazquez-Leal, A. Sarmiento-Reyes, A. Perez-Sesma, L. Hernandez-Martinez, et al. (2013). The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions. Applied and Computational Mathematics, 2(6), 143-148. https://doi.org/10.11648/j.acm.20130206.16

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ACS Style

U. Filobello-Nino; H. Vazquez-Leal; A. Sarmiento-Reyes; A. Perez-Sesma; L. Hernandez-Martinez, et al. The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions. Appl. Comput. Math. 2013, 2(6), 143-148. doi: 10.11648/j.acm.20130206.16

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AMA Style

U. Filobello-Nino, H. Vazquez-Leal, A. Sarmiento-Reyes, A. Perez-Sesma, L. Hernandez-Martinez, et al. The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions. Appl Comput Math. 2013;2(6):143-148. doi: 10.11648/j.acm.20130206.16

Copy | Download

@article{10.11648/j.acm.20130206.16,
  author = {U. Filobello-Nino and H. Vazquez-Leal and A. Sarmiento-Reyes and A. Perez-Sesma and L. Hernandez-Martinez and A. Herrera-May and V. M. Jimenez-Fernandez and A. Marin-Hernandez and D. Pereyra-Diaz and A. Diaz-Sanchez},
  title = {The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions},
  journal = {Applied and Computational Mathematics},
  volume = {2},
  number = {6},
  pages = {143-148},
  doi = {10.11648/j.acm.20130206.16},
  url = {https://doi.org/10.11648/j.acm.20130206.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20130206.16},
  abstract = {In this paper, we present Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for differential equations related with heat transfer phenomena. Comparing figures between approximate and exact solutions, show the effectiveness of the method.},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions
AU  - U. Filobello-Nino
AU  - H. Vazquez-Leal
AU  - A. Sarmiento-Reyes
AU  - A. Perez-Sesma
AU  - L. Hernandez-Martinez
AU  - A. Herrera-May
AU  - V. M. Jimenez-Fernandez
AU  - A. Marin-Hernandez
AU  - D. Pereyra-Diaz
AU  - A. Diaz-Sanchez
Y1  - 2013/11/30
PY  - 2013
N1  - https://doi.org/10.11648/j.acm.20130206.16
DO  - 10.11648/j.acm.20130206.16
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 143
EP  - 148
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20130206.16
AB  - In this paper, we present Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for differential equations related with heat transfer phenomena. Comparing figures between approximate and exact solutions, show the effectiveness of the method.
VL  - 2
IS  - 6
ER  -

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