Applied and Computational Mathematics

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An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method

Received: 19 February 2014    Accepted:     Published: 10 March 2014
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Abstract

This article proposes Perturbation Method (PM) to find an approximate solution for the problem of an axis symmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore that PM is efficient.

DOI 10.11648/j.acm.20140301.16
Published in Applied and Computational Mathematics (Volume 3, Issue 1, February 2014)
Page(s) 38-42
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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

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

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Author Information
  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronics Department, National Institute for Astrophysics, Optics and Electronics, Sta. Maria Tonantzintla, Puebla, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Civil Engineering School, University of Veracruz, Poza Rica, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

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  • APA Style

    U. Filobello-Nino, H. Vazquez-Leal, A. Perez-Sesma, J. Cervantes-Perez, V. M. Jimenez-Fernandez, et al. (2014). An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method. Applied and Computational Mathematics, 3(1), 38-42. https://doi.org/10.11648/j.acm.20140301.16

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    ACS Style

    U. Filobello-Nino; H. Vazquez-Leal; A. Perez-Sesma; J. Cervantes-Perez; V. M. Jimenez-Fernandez, et al. An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method. Appl. Comput. Math. 2014, 3(1), 38-42. doi: 10.11648/j.acm.20140301.16

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    AMA Style

    U. Filobello-Nino, H. Vazquez-Leal, A. Perez-Sesma, J. Cervantes-Perez, V. M. Jimenez-Fernandez, et al. An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method. Appl Comput Math. 2014;3(1):38-42. doi: 10.11648/j.acm.20140301.16

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  • @article{10.11648/j.acm.20140301.16,
      author = {U. Filobello-Nino and H. Vazquez-Leal and A. Perez-Sesma and J. Cervantes-Perez and V. M. Jimenez-Fernandez and L. Hernandez-Martinez and D. Pereyra-Diaz and R. Castaneda-Sheissa and J. Sanchez-Orea and C. Hoyos-Reyes and S. F. Hernandez-Machuca and J. Huerta-Chua and J. L. Rocha-Fernandez and A. D. Contreras-Hernandez and J. M. Mendez-Perez},
      title = {An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method},
      journal = {Applied and Computational Mathematics},
      volume = {3},
      number = {1},
      pages = {38-42},
      doi = {10.11648/j.acm.20140301.16},
      url = {https://doi.org/10.11648/j.acm.20140301.16},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.acm.20140301.16},
      abstract = {This article proposes Perturbation Method (PM) to find an approximate solution for the problem of an axis symmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore that PM is efficient.},
     year = {2014}
    }
    

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    AB  - This article proposes Perturbation Method (PM) to find an approximate solution for the problem of an axis symmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore that PM is efficient.
    VL  - 3
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    ER  - 

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