Papers

A Linear method is constructed for numerical solution of two dimensional non-linear Burgers equation. The scheme is derived from Crank-Nicolson finite difference scheme for linear terms and averaging for nonlinear terms. The method is shown to be consistent and second order accurate in time and space. The numerical solutions are obtained for two test problems at different time t and Reynolds number Re. The numerical solutions are compared with exact solution and other existing methods. Though the method is linear numerical solutions are compatible with ADM and Crank-Nicolson method

The unsteady flow of a dusty viscous incompressible fluid through porous medium in a long rectangular channel under the influence of time dependent pressure gradient has been studied. The solution of governing equations of motion is obtained by the application of Finite Fourier cosine transform and Laplace transform to study the behaviour of the flow of fluid and the dust particles through porous medium. The particular cases when the pressure gradient is (i) an absolute constant,
(ii) periodic function of time, (iii) an exponentially decreasing function of time and (iv) Ctet , have been discussed in detail.

In this paper, two algorithms for realizing two-dimensional discrete sine transform (2-D DST) are proposed. Basing on these two algorithms, two systolic architectures are presented for implementing 2- D DST of even N. The systolic array using the algorithm-1 is a bilayer structure, which does not require any hardware/time for the transposition of the intermediate results.

The contact problem of two conducting plano-convex solids having different conductivities is considered assuming that steady state heat conduction takes place. The problem is formulated so as to involve a pair of dual integral equations having Legendre functions with complex index. These equations are reduced to a single integral equation which is then solved iteratively. Lastly, the quantities of physical interest are found out.

The aim of this paper is to obtain the temperatures in the prism involving I-function function of two variables