Applied and Computational Mathematics

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

Received: 28 October 2013    Accepted:     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.

DOI 10.11648/j.acm.20130206.16
Published in Applied and Computational Mathematics (Volume 2, Issue 6, December 2013)
Page(s) 143-148
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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), 2024. Published by Science Publishing Group

Keywords

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

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Author Information
  • Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000

  • Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000

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

  • Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000

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

  • Micro and Nanotechnology Research Center, Universidad Veracruzana, Calzada, Ruiz Cortines, Boca del Rio 94292, Veracruz, Mexico

  • Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000

  • Department of Artificial Intelligence, Universidad Veracruzana, Sebastián Camacho No. 5, C.P. 91000 Xalapa, Veracruz, Mexico

  • Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000

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

Cite This Article
  • 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://download.sciencepg.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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    T1  - The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions
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