On the stability of elastico-viscous flows

Summary The stability ofCouette flow and planePoiseuille flow of an elastico-viscous liquid is analyzed. It is found that in both cases the flow is less stable than that of Newtonian liquids. The critical wave number is also changed due to the elasticity of the liquid. These changes depend on the type of flow under consideration.This work forms a part of the D. Sc. thesis of the first author. The work was supported by the United States Office of Naval Research under Contract N 62558-4093 and by the Technion Research Found.     

Convergence of the variational iteration method for the telegraph equation with integral conditions

In this article, we first transform the telegraph equation into a system of partial differential equations. Then, we apply the variational iteration method to compute an approximate solution for the telegraph equation. Convergence of the proposed method is also discussed. Finally, some numerical examples are given to show the effectiveness of the proposed method. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1442–1455, 2011