Symmetry Analysis to f'''+βff''-αf'2=0 Arising in Boundary Layer Theory
Science Journal of Applied Mathematics and Statistics
Volume 1, Issue 5, December 2013, Pages: 47-49
Received: Sep. 10, 2013; Published: Oct. 20, 2013
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Authors
Salma Mohammad Al-Tuwairqi, Department of Mathematics, King Abdulaziz University, Jeddah 21551, Saudi Arabia
Anisa Mukhtar Hassan, Department of Mathematics, King Abdulaziz University, Jeddah 21551, Saudi Arabia
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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.
Keywords
Lie Symmetries, Group-Invariant Solutions, Analytic Solution, Boundary Layer Equation
To cite this article
Salma Mohammad Al-Tuwairqi, Anisa Mukhtar Hassan, Symmetry Analysis to f'''+βff''-αf'2=0 Arising in Boundary Layer Theory, Science Journal of Applied Mathematics and Statistics. Vol. 1, No. 5, 2013, pp. 47-49. doi: 10.11648/j.sjams.20130105.12
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