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New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients

Received: 14 September 2015     Accepted: 21 September 2015     Published: 13 October 2015
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Abstract

In this paper, the exact solution of the fourth - order parabolic equations with variable coefficients is obtained by using a new homotopy perturbation method (NHPM), theoretical consideration are discussed. Finally, three examples are illustrated to show the validity and applicability of the proposed method.

Published in Pure and Applied Mathematics Journal (Volume 4, Issue 6)
DOI 10.11648/j.pamj.20150406.13
Page(s) 242-247
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

New Homotopy Perturbation Method (NHPM), Fourth - Order Parabolic Equations

References
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[20] A. Beléndez, T. Beléndez, A. Markuez, and C. Neipp, Application of He’s homotopy perturbation method to conservative truly nonlinear oscillators, Chaos Solitons and Fractals (2006), doi: 10.1016/j.chaos. 2006. 09. 070.
[21] A. Beléndez, T. Beléndez, C. Neipp, A. Hernandez, and M. L. Alvarez, Approximate solutions of a non linear oscillator typified as a mass attached to a stretched elastic wire by the homotopy perturbation method, Chaos Solitons and Fractals (2007): 10.1016/j.chaos, 2007. 01. 089.
[22] A. Belendez, A. Hernandez, T. Belendez, E. Fernandez, M. L. Alvarez, and C. Neip, Application of He’s homotopy perturbation method to the Duffing - harmonic oscillator, Int. J. Nonlinear Sci. Numer. Simul. 8 (1) (2007), pp. 79–88.
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Cite This Article
  • APA Style

    Mohamed Elbadri, Tarig. M. Elzaki. (2015). New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients. Pure and Applied Mathematics Journal, 4(6), 242-247. https://doi.org/10.11648/j.pamj.20150406.13

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    ACS Style

    Mohamed Elbadri; Tarig. M. Elzaki. New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients. Pure Appl. Math. J. 2015, 4(6), 242-247. doi: 10.11648/j.pamj.20150406.13

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    AMA Style

    Mohamed Elbadri, Tarig. M. Elzaki. New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients. Pure Appl Math J. 2015;4(6):242-247. doi: 10.11648/j.pamj.20150406.13

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  • @article{10.11648/j.pamj.20150406.13,
      author = {Mohamed Elbadri and Tarig. M. Elzaki},
      title = {New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients},
      journal = {Pure and Applied Mathematics Journal},
      volume = {4},
      number = {6},
      pages = {242-247},
      doi = {10.11648/j.pamj.20150406.13},
      url = {https://doi.org/10.11648/j.pamj.20150406.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150406.13},
      abstract = {In this paper, the exact solution of the fourth - order parabolic equations with variable coefficients is obtained by using a new homotopy perturbation method (NHPM), theoretical consideration are discussed. Finally, three examples are illustrated to show the validity and applicability of the proposed method.},
     year = {2015}
    }
    

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    AU  - Mohamed Elbadri
    AU  - Tarig. M. Elzaki
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    AB  - In this paper, the exact solution of the fourth - order parabolic equations with variable coefficients is obtained by using a new homotopy perturbation method (NHPM), theoretical consideration are discussed. Finally, three examples are illustrated to show the validity and applicability of the proposed method.
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    ER  - 

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

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

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