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), 2024. Published by Science Publishing Group |
ELzaki Transform, Homotopy Perturbation Method, He’s Polynomials, Linear and Nonlinear Schrodinger Equations
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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
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
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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Download@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}
}
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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