American Journal of Applied Mathematics

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The Comparison Adomian Decomposition Method and Differential Quadrature Method for Solving Some Nonlinear Partial Diferential Equations

Received: 30 March 2015    Accepted: 03 April 2015    Published: 16 April 2015
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Abstract

Nonlinear partial diferential equations are a class of partial diferential equations having many important uses in engineering and sciences. In this work we display a comparison between Adomian Decomposition Method (ADM) and Differential Quadrature Method (DQM) for solving some nonlinear partial diferential equations. We found the existence of exact solutions for those models. The numerical results show the efficiency and accuracy of this method.

DOI 10.11648/j.ajam.20150303.12
Published in American Journal of Applied Mathematics (Volume 3, Issue 3, June 2015)
Page(s) 90-94
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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

Adomian Decomposition Method, Differential Quadrature Method, Nonlinear Partial Diferential

References
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[8] J.S. Duan and R. Rach (2011). A new modi¯cation of the Adomian decomposition method for solving boundary value problems for higher order nonlinear diferential equations, Appl. Math. Comput. 218 ,4090-4118.
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[15] Shu C. , Chen W. and Du H.(2014)." Free vibration analysis of curvilinear quadrilateral plates by the DQ method", J. comput. Phys., 163, 452–466.
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Author Information
  • Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

  • Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

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    Zahra Adabi Firoozjae, Allahbakhsh yazdani. (2015). The Comparison Adomian Decomposition Method and Differential Quadrature Method for Solving Some Nonlinear Partial Diferential Equations. American Journal of Applied Mathematics, 3(3), 90-94. https://doi.org/10.11648/j.ajam.20150303.12

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    ACS Style

    Zahra Adabi Firoozjae; Allahbakhsh yazdani. The Comparison Adomian Decomposition Method and Differential Quadrature Method for Solving Some Nonlinear Partial Diferential Equations. Am. J. Appl. Math. 2015, 3(3), 90-94. doi: 10.11648/j.ajam.20150303.12

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    AMA Style

    Zahra Adabi Firoozjae, Allahbakhsh yazdani. The Comparison Adomian Decomposition Method and Differential Quadrature Method for Solving Some Nonlinear Partial Diferential Equations. Am J Appl Math. 2015;3(3):90-94. doi: 10.11648/j.ajam.20150303.12

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  • @article{10.11648/j.ajam.20150303.12,
      author = {Zahra Adabi Firoozjae and Allahbakhsh yazdani},
      title = {The Comparison Adomian Decomposition Method and Differential Quadrature Method for Solving Some Nonlinear Partial Diferential Equations},
      journal = {American Journal of Applied Mathematics},
      volume = {3},
      number = {3},
      pages = {90-94},
      doi = {10.11648/j.ajam.20150303.12},
      url = {https://doi.org/10.11648/j.ajam.20150303.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajam.20150303.12},
      abstract = {Nonlinear partial diferential equations are a class of partial diferential equations having many important uses in engineering and sciences. In this work we display a comparison between Adomian Decomposition Method (ADM) and Differential Quadrature Method (DQM) for solving some nonlinear partial diferential equations. We found the existence of exact solutions for those models. The numerical results show the efficiency and accuracy of this method.},
     year = {2015}
    }
    

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    T1  - The Comparison Adomian Decomposition Method and Differential Quadrature Method for Solving Some Nonlinear Partial Diferential Equations
    AU  - Zahra Adabi Firoozjae
    AU  - Allahbakhsh yazdani
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    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
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    AB  - Nonlinear partial diferential equations are a class of partial diferential equations having many important uses in engineering and sciences. In this work we display a comparison between Adomian Decomposition Method (ADM) and Differential Quadrature Method (DQM) for solving some nonlinear partial diferential equations. We found the existence of exact solutions for those models. The numerical results show the efficiency and accuracy of this method.
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