The two-dimensional steady flow of an incompressible second-order viscoelastic fluid between two parallel plates was studied in terms of vorficity, the stream function and temperature equations. The governing equations were expanded with respect to a small parameter to get the zeroth-and first-order approximate equations. By using the differenlial quadrature method with only a few grid points, the high-accurate numerical results were obtained.Key words differential quadrature method(DQM), second-ordex viscoelastic fluid, steady flow, heat lransfer. MSC 2000 651V199
In this article, a new technique is proposed to simulated two-dimensional Zakharov–Kuznetsov equation with the initial condition. The idea of this technique is based on Taylors' series in its derivation. Two test problems are presented to illustrate the performance of the new scheme. Analytical approximate solutions that we obtain are compared with variational iteration method (VIM) and homotopy analysis method (HAM). The results show that the new scheme is efficient and better than the other methods in accuracy and convergence.
The traditional differential quadrature method was improved by using the upwind difference scheme for the convective terms to solve the coupled two-dimensional incompressible Navier-stokes equations and heat equation. The new method was compared with the conventional differential quadrature method in the aspects of convergence and accuracy. The results show that the new method is more accurate, and has better convergence than the conventional differential quadrature method for numerically computing the steady-state solution.Key words coupled N-S equation and heat equation, differential quadrature method, upwind difference scheme.
MSC 2000 65M 99
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