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), 2016. Published by Science Publishing Group |
Homotopy Decomposition Method, Nonlinear Fractional Heat - Like Equation, Aboodh Transform
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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
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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Download@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}
}
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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