A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations

Mohand M. Abdelrahim Mahgoub

doi:doi:10.11648/j.ijssam.20160104.15

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A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations

Mohand M. Abdelrahim Mahgoub

Published in International Journal of Systems Science and Applied Mathematics (Volume 1, Issue 4)

Received: 8 October 2016 Accepted: 18 October 2016 Published: 15 November 2016

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Abstract

In this paper, we present the solution of nonlinear fractional Heat - Like equations by using Aboodh transform homotopy perturbation method (ATHPM). The proposed method was derived by combining Aboodh transform and homotopy perturbation method. This method is seen as a better alternative method to some existing techniques for such realistic problems. The results showed the efficiency and accuracy of the combined Aboodh transform and homotopy perturbation method.

Published in	International Journal of Systems Science and Applied Mathematics (Volume 1, Issue 4)
DOI	10.11648/j.ijssam.20160104.15
Page(s)	63-68
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), 2024. Published by Science Publishing Group

Keywords

Homotopy Decomposition Method, Nonlinear Fractional Heat - Like Equation, Aboodh Transform

References

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Mohand M. Abdelrahim Mahgoub. (2016). A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations. International Journal of Systems Science and Applied Mathematics, 1(4), 63-68. https://doi.org/10.11648/j.ijssam.20160104.15

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ACS Style

Mohand M. Abdelrahim Mahgoub. A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations. Int. J. Syst. Sci. Appl. Math. 2016, 1(4), 63-68. doi: 10.11648/j.ijssam.20160104.15

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AMA Style

Mohand M. Abdelrahim Mahgoub. A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations. Int J Syst Sci Appl Math. 2016;1(4):63-68. doi: 10.11648/j.ijssam.20160104.15

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@article{10.11648/j.ijssam.20160104.15,
  author = {Mohand M. Abdelrahim Mahgoub},
  title = {A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {1},
  number = {4},
  pages = {63-68},
  doi = {10.11648/j.ijssam.20160104.15},
  url = {https://doi.org/10.11648/j.ijssam.20160104.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20160104.15},
  abstract = {In this paper, we present the solution of nonlinear fractional Heat - Like equations by using Aboodh transform homotopy perturbation method (ATHPM). The proposed method was derived by combining Aboodh transform and homotopy perturbation method. This method is seen as a better alternative method to some existing techniques for such realistic problems. The results showed the efficiency and accuracy of the combined Aboodh transform and homotopy perturbation method.},
 year = {2016}
}

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TY  - JOUR
T1  - A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations
AU  - Mohand M. Abdelrahim Mahgoub
Y1  - 2016/11/15
PY  - 2016
N1  - https://doi.org/10.11648/j.ijssam.20160104.15
DO  - 10.11648/j.ijssam.20160104.15
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 63
EP  - 68
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20160104.15
AB  - In this paper, we present the solution of nonlinear fractional Heat - Like equations by using Aboodh transform homotopy perturbation method (ATHPM). The proposed method was derived by combining Aboodh transform and homotopy perturbation method. This method is seen as a better alternative method to some existing techniques for such realistic problems. The results showed the efficiency and accuracy of the combined Aboodh transform and homotopy perturbation method.
VL  - 1
IS  - 4
ER  -

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Author Information

Mohand M. Abdelrahim Mahgoub

Department of Mathematics, Faculty of Science & Technology, Omdurman Islamic University, Khartoum, Sudan; Mathematics Department Faculty of Sciences and Arts, Almikwah-Albaha University, Albaha, Saudi Arabia

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APA Style

Mohand M. Abdelrahim Mahgoub. (2016). A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations. International Journal of Systems Science and Applied Mathematics, 1(4), 63-68. https://doi.org/10.11648/j.ijssam.20160104.15

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ACS Style

Mohand M. Abdelrahim Mahgoub. A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations. Int. J. Syst. Sci. Appl. Math. 2016, 1(4), 63-68. doi: 10.11648/j.ijssam.20160104.15

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AMA Style

Mohand M. Abdelrahim Mahgoub. A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations. Int J Syst Sci Appl Math. 2016;1(4):63-68. doi: 10.11648/j.ijssam.20160104.15

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@article{10.11648/j.ijssam.20160104.15,
  author = {Mohand M. Abdelrahim Mahgoub},
  title = {A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {1},
  number = {4},
  pages = {63-68},
  doi = {10.11648/j.ijssam.20160104.15},
  url = {https://doi.org/10.11648/j.ijssam.20160104.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20160104.15},
  abstract = {In this paper, we present the solution of nonlinear fractional Heat - Like equations by using Aboodh transform homotopy perturbation method (ATHPM). The proposed method was derived by combining Aboodh transform and homotopy perturbation method. This method is seen as a better alternative method to some existing techniques for such realistic problems. The results showed the efficiency and accuracy of the combined Aboodh transform and homotopy perturbation method.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - A Coupling Method of Homotopy Perturbation and Aboodh Transform for Solving Nonlinear Fractional Heat - Like Equations
AU  - Mohand M. Abdelrahim Mahgoub
Y1  - 2016/11/15
PY  - 2016
N1  - https://doi.org/10.11648/j.ijssam.20160104.15
DO  - 10.11648/j.ijssam.20160104.15
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 63
EP  - 68
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20160104.15
AB  - In this paper, we present the solution of nonlinear fractional Heat - Like equations by using Aboodh transform homotopy perturbation method (ATHPM). The proposed method was derived by combining Aboodh transform and homotopy perturbation method. This method is seen as a better alternative method to some existing techniques for such realistic problems. The results showed the efficiency and accuracy of the combined Aboodh transform and homotopy perturbation method.
VL  - 1
IS  - 4
ER  -

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