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Solution of Linear and Nonlinear Schrodinger Equations by Combine Elzaki Transform and Homotopy Perturbation Method

Received: 29 September 2015     Accepted: 15 October 2015     Published: 30 October 2015
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Abstract

In this paper, the homotopy perturbation method (HPM) and ELzaki transform are employed to obtain the approximate analytical solution of the Linear and Nonlinear Schrodinger Equations. The proposed method is an elegant combination of the new integral transform “ELzaki Transform” and the homotopy perturbation method. This method finds the solution without any discretization, linearization or restrictive assumptions and avoids the round-off errors,the results reveal that the ETHPM is very efficient, simple and can be applied to other nonlinear problems.

Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 6)
DOI 10.11648/j.ajtas.20150406.24
Page(s) 534-538
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), 2015. Published by Science Publishing Group

Keywords

ELzaki Transform, Homotopy Perturbation Method, He’s Polynomials, Linear and Nonlinear Schrodinger Equations

References
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Cite This Article
  • APA Style

    Mohannad H. Eljaily, Tarig M. Elzaki. (2015). Solution of Linear and Nonlinear Schrodinger Equations by Combine Elzaki Transform and Homotopy Perturbation Method. American Journal of Theoretical and Applied Statistics, 4(6), 534-538. https://doi.org/10.11648/j.ajtas.20150406.24

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    ACS Style

    Mohannad H. Eljaily; Tarig M. Elzaki. Solution of Linear and Nonlinear Schrodinger Equations by Combine Elzaki Transform and Homotopy Perturbation Method. Am. J. Theor. Appl. Stat. 2015, 4(6), 534-538. doi: 10.11648/j.ajtas.20150406.24

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    AMA Style

    Mohannad H. Eljaily, Tarig M. Elzaki. Solution of Linear and Nonlinear Schrodinger Equations by Combine Elzaki Transform and Homotopy Perturbation Method. Am J Theor Appl Stat. 2015;4(6):534-538. doi: 10.11648/j.ajtas.20150406.24

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  • @article{10.11648/j.ajtas.20150406.24,
      author = {Mohannad H. Eljaily and Tarig M. Elzaki},
      title = {Solution of Linear and Nonlinear Schrodinger Equations by Combine Elzaki Transform and Homotopy Perturbation Method},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {4},
      number = {6},
      pages = {534-538},
      doi = {10.11648/j.ajtas.20150406.24},
      url = {https://doi.org/10.11648/j.ajtas.20150406.24},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20150406.24},
      abstract = {In this paper, the homotopy perturbation method (HPM) and ELzaki transform are employed to obtain the approximate analytical solution of the Linear and Nonlinear Schrodinger Equations. The proposed method is an elegant combination of the new integral transform “ELzaki Transform” and the homotopy perturbation method. This method finds the solution without any discretization, linearization or restrictive assumptions and avoids the round-off errors,the results reveal that the ETHPM is very efficient, simple and can be applied to other nonlinear problems.},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - Solution of Linear and Nonlinear Schrodinger Equations by Combine Elzaki Transform and Homotopy Perturbation Method
    AU  - Mohannad H. Eljaily
    AU  - Tarig M. Elzaki
    Y1  - 2015/10/30
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ajtas.20150406.24
    DO  - 10.11648/j.ajtas.20150406.24
    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
    SP  - 534
    EP  - 538
    PB  - Science Publishing Group
    SN  - 2326-9006
    UR  - https://doi.org/10.11648/j.ajtas.20150406.24
    AB  - In this paper, the homotopy perturbation method (HPM) and ELzaki transform are employed to obtain the approximate analytical solution of the Linear and Nonlinear Schrodinger Equations. The proposed method is an elegant combination of the new integral transform “ELzaki Transform” and the homotopy perturbation method. This method finds the solution without any discretization, linearization or restrictive assumptions and avoids the round-off errors,the results reveal that the ETHPM is very efficient, simple and can be applied to other nonlinear problems.
    VL  - 4
    IS  - 6
    ER  - 

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Author Information
  • Department of Mathematic, Faculty of Sciences, Sudan University of Sciences and Technology, Khartoum, Sudan

  • Department of Mathematic, Faculty of Sciences, Sudan University of Sciences and Technology, Khartoum, Sudan

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