Solution of Boussinesq Problem using lie Symmetries
AbstractFirstly 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.
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Özer, T. Solution of Boussinesq Problem using lie Symmetries. Math. Comput. Appl. 2000, 5, 1-11.
Özer T. Solution of Boussinesq Problem using lie Symmetries. Mathematical and Computational Applications. 2000; 5(1):1-11.Chicago/Turabian Style
Özer, Teoman. 2000. "Solution of Boussinesq Problem using lie Symmetries." Math. Comput. Appl. 5, no. 1: 1-11.