In this paper we analyze the boundary layer equation f^'''+βff^''-α〖f'〗^2=0 using a group theoretical method known as symmetry method. We obtain the symmetry group admitted by the boundary layer equation. We then construct exact invariant solutions and outline a symmetry reduction. The invariant solution is examined under common boundary conditions.
| Published in | Science Journal of Applied Mathematics and Statistics (Volume 1, Issue 5) |
| DOI | 10.11648/j.sjams.20130105.12 |
| Page(s) | 47-49 |
| 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 |
Lie Symmetries, Group-Invariant Solutions, Analytic Solution, Boundary Layer Equation
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APA Style
Salma Mohammad Al-Tuwairqi, Anisa Mukhtar Hassan. (2013). Symmetry Analysis to f'''+βff''-αf'2=0 Arising in Boundary Layer Theory. Science Journal of Applied Mathematics and Statistics, 1(5), 47-49. https://doi.org/10.11648/j.sjams.20130105.12
ACS Style
Salma Mohammad Al-Tuwairqi; Anisa Mukhtar Hassan. Symmetry Analysis to f'''+βff''-αf'2=0 Arising in Boundary Layer Theory. Sci. J. Appl. Math. Stat. 2013, 1(5), 47-49. doi: 10.11648/j.sjams.20130105.12
AMA Style
Salma Mohammad Al-Tuwairqi, Anisa Mukhtar Hassan. Symmetry Analysis to f'''+βff''-αf'2=0 Arising in Boundary Layer Theory. Sci J Appl Math Stat. 2013;1(5):47-49. doi: 10.11648/j.sjams.20130105.12
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Download@article{10.11648/j.sjams.20130105.12,
author = {Salma Mohammad Al-Tuwairqi and Anisa Mukhtar Hassan},
title = {Symmetry Analysis to f'''+βff''-αf'2=0 Arising in Boundary Layer Theory},
journal = {Science Journal of Applied Mathematics and Statistics},
volume = {1},
number = {5},
pages = {47-49},
doi = {10.11648/j.sjams.20130105.12},
url = {https://doi.org/10.11648/j.sjams.20130105.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20130105.12},
abstract = {In this paper we analyze the boundary layer equation f^'''+βff^''-α〖f'〗^2=0 using a group theoretical method known as symmetry method. We obtain the symmetry group admitted by the boundary layer equation. We then construct exact invariant solutions and outline a symmetry reduction. The invariant solution is examined under common boundary conditions.},
year = {2013}
}
TY - JOUR T1 - Symmetry Analysis to f'''+βff''-αf'2=0 Arising in Boundary Layer Theory AU - Salma Mohammad Al-Tuwairqi AU - Anisa Mukhtar Hassan Y1 - 2013/10/20 PY - 2013 N1 - https://doi.org/10.11648/j.sjams.20130105.12 DO - 10.11648/j.sjams.20130105.12 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 47 EP - 49 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20130105.12 AB - In this paper we analyze the boundary layer equation f^'''+βff^''-α〖f'〗^2=0 using a group theoretical method known as symmetry method. We obtain the symmetry group admitted by the boundary layer equation. We then construct exact invariant solutions and outline a symmetry reduction. The invariant solution is examined under common boundary conditions. VL - 1 IS - 5 ER -
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