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Application of Laplace Variation Iteration Method to Solving the Nonlinear Gas Dynamics Equation

Received: 11 September 2020     Accepted: 19 October 2020     Published: 16 December 2020
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Abstract

In this work, we use a new analytical technique called Laplace variational iteration method to construct the exact solution of the nonlinear equation of gas dynamics. This method is based on the determination of the Lagrange multiplier in an optimal way. Application of the method to three test modeling problems from mathematical physics leads to a sequence which tends towards the exact solution of the problem. The solution procedure shows the reliability of the method and is high accuracy evident.

Published in American Journal of Mathematical and Computer Modelling (Volume 5, Issue 4)
DOI 10.11648/j.ajmcm.20200504.15
Page(s) 127-133
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), 2020. Published by Science Publishing Group

Keywords

Laplace Variational Iteration Method, Nonlinear Gas Dynamics Equation, Lagrange Multiplier

References
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Cite This Article
  • APA Style

    Joseph Bonazebi Yindoula, Stevy Mikamona Mayembo, Gabriel Bissanga. (2020). Application of Laplace Variation Iteration Method to Solving the Nonlinear Gas Dynamics Equation. American Journal of Mathematical and Computer Modelling, 5(4), 127-133. https://doi.org/10.11648/j.ajmcm.20200504.15

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    ACS Style

    Joseph Bonazebi Yindoula; Stevy Mikamona Mayembo; Gabriel Bissanga. Application of Laplace Variation Iteration Method to Solving the Nonlinear Gas Dynamics Equation. Am. J. Math. Comput. Model. 2020, 5(4), 127-133. doi: 10.11648/j.ajmcm.20200504.15

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    AMA Style

    Joseph Bonazebi Yindoula, Stevy Mikamona Mayembo, Gabriel Bissanga. Application of Laplace Variation Iteration Method to Solving the Nonlinear Gas Dynamics Equation. Am J Math Comput Model. 2020;5(4):127-133. doi: 10.11648/j.ajmcm.20200504.15

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  • @article{10.11648/j.ajmcm.20200504.15,
      author = {Joseph Bonazebi Yindoula and Stevy Mikamona Mayembo and Gabriel Bissanga},
      title = {Application of Laplace Variation Iteration Method to Solving the Nonlinear Gas Dynamics Equation},
      journal = {American Journal of Mathematical and Computer Modelling},
      volume = {5},
      number = {4},
      pages = {127-133},
      doi = {10.11648/j.ajmcm.20200504.15},
      url = {https://doi.org/10.11648/j.ajmcm.20200504.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmcm.20200504.15},
      abstract = {In this work, we use a new analytical technique called Laplace variational iteration method to construct the exact solution of the nonlinear equation of gas dynamics. This method is based on the determination of the Lagrange multiplier in an optimal way. Application of the method to three test modeling problems from mathematical physics leads to a sequence which tends towards the exact solution of the problem. The solution procedure shows the reliability of the method and is high accuracy evident.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Application of Laplace Variation Iteration Method to Solving the Nonlinear Gas Dynamics Equation
    AU  - Joseph Bonazebi Yindoula
    AU  - Stevy Mikamona Mayembo
    AU  - Gabriel Bissanga
    Y1  - 2020/12/16
    PY  - 2020
    N1  - https://doi.org/10.11648/j.ajmcm.20200504.15
    DO  - 10.11648/j.ajmcm.20200504.15
    T2  - American Journal of Mathematical and Computer Modelling
    JF  - American Journal of Mathematical and Computer Modelling
    JO  - American Journal of Mathematical and Computer Modelling
    SP  - 127
    EP  - 133
    PB  - Science Publishing Group
    SN  - 2578-8280
    UR  - https://doi.org/10.11648/j.ajmcm.20200504.15
    AB  - In this work, we use a new analytical technique called Laplace variational iteration method to construct the exact solution of the nonlinear equation of gas dynamics. This method is based on the determination of the Lagrange multiplier in an optimal way. Application of the method to three test modeling problems from mathematical physics leads to a sequence which tends towards the exact solution of the problem. The solution procedure shows the reliability of the method and is high accuracy evident.
    VL  - 5
    IS  - 4
    ER  - 

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Author Information
  • Department of Exacts Sciences, Faculté des Sciences et Techniques, University Marien N’Gouabi, Brazzaville, Congo

  • Department of Exacts Sciences, Faculté des Sciences et Techniques, University Marien N’Gouabi, Brazzaville, Congo

  • Department of Exacts Sciences, Faculté des Sciences et Techniques, University Marien N’Gouabi, Brazzaville, Congo

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