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Math. Comput. Appl. 2000, 5(1), 1-11; doi:10.3390/mca5010001

Solution of Boussinesq Problem using lie Symmetries

Istanbul Technical University, Faculty of Civil Engineering, Maslak 80626, Istanbul, Turkey
Published: 1 April 2000
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Abstract

Firstly the Lie point symmetries of cylindrically symmetric homogeneous Nawier equations are obtained. Using the symmetries the general class of similarity solutions are found. The subclass that also satisfies the non-homogeneous system of the medium subject to a singular force is determined. Substituting the subclass into the non-homogeneous system, a system of ordinary differential equations is obtained. The solution of the system satisfying the boundary conditions of Bousssinesq problem gives the exact solution.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Özer, T. Solution of Boussinesq Problem using lie Symmetries. Math. Comput. Appl. 2000, 5, 1-11.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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