The numerical investigation of the stability of the localized perturbation in Poiseuille flow
In this paper we propose a numerical method for examination of a general two-dimensional stability analysis. The method is based on solution of the eigenvalue problem for linear partial differential equations. Rvachev functions theory enables to construct the approximate solutions for regions of arbitrary geometry. Boundary conditions are satisfied exactly. Collocation method produce algebraic eigenvalue problem, that is solved by Krylov methods.