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

Joseph Bonazebi Yindoula; Stevy Mikamona Mayembo; Gabriel Bissanga

doi:doi:10.11648/j.ajmcm.20200504.15

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

Joseph Bonazebi Yindoula, Stevy Mikamona Mayembo, Gabriel Bissanga

Published in American Journal of Mathematical and Computer Modelling (Volume 5, Issue 4)

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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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
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PB  - Science Publishing Group
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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
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Author Information

Joseph Bonazebi Yindoula

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

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

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

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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}
}

Copy | Download

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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