Zhen F. Tian

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In this paper, a high-order exponential (HOE) scheme is developed for the solution of the unsteady one-dimensional convection–diffusion equation. The present scheme uses the fourth-order compact exponential difference formula for the spatial discretization and the (2, 2) Padé approximation for the temporal discretization. The proposed scheme achieves(More)
A class of compact second-order finite difference algorithms is proposed for solving steady-state laminar natural convection in a square cavity using the stream-function-velocity (ψ-u) form of Navier-Stokes equations. The stream-function-velocity equation and the energy equation are all solved as a coupled system of equations for the four field variables(More)
A rational high-order compact (RHOC) finite difference (FD) method on the nine-point stencil is proposed for solving the steady-state two-dimensional Navier–Stokes equations in the stream function–vorticity form. The resulting system of algebra equations can be solved by using the point-successive overor under-relaxation (SOR) iteration. Numerical(More)
The Wilms' tumor 1 (WT1) gene is one of the regulating factors in cell proliferation and development. It is a double-functional gene: an oncogene and a tumor suppressor. This gene was found to be highly expressed in many leukemic cell lines and in patients with acute myeloid leukemia. In the present study, we demonstrated that the WT1 gene was commonly(More)
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