Papers

Journal of Ultra Scientist of Physical Sciences - A
Voulume: 25
Issue: 1
Article No. 21
Linear Method For Two Dimensional Burgers Equation
SACHIN S.WANI1 and SARITA THAKAR2
Abstract :

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

Keyword : Two dimensional Burgers equation, Crank Nicolson, Reynolds Number, Consistent. AMS Subject classification:-65M12
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Paper Download Count : 677
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Article No. 22
Unsteady flow of a dusty viscous fluid through porous medium in a rectangular channel with time dependent pressure gradient
GAURAV MISHRA, RAVINDRA KUMAR and K. K. SINGH
Abstract :

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.

Keyword : unsteady flow
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Paper Download Count : 647
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Article No. 23
Architectures for Realization of Two-Dimensional Discrete Sine Transform
M.N. MURTY
Abstract :

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.

Keyword : Discrete sine transform; Discrete cosine transform; Systolic architecture.
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Paper Download Count : 652
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Article No. 24
On The Mixed Boundary Value Problem Of Steady State Heat Conduction In A Domain Formed By Cementing Two Plano-Convex Solids
ANJANA SINGH and P.K. MATHUR
Abstract :

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.

Keyword : 45A05 Linear integral equation, 45B05 Fredholm integral equation, 45F10 Dual integral equations
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Paper Download Count : 718
View Count : 653
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Article No. 25
SHORT COMMUNICATION Temperature in the prism involving I-function of two variables
S. S. SRIVASTAVA1 and Smt. ANSHU SINGH2
Abstract :

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

Keyword : I-function
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Paper Download Count : 602
View Count : 726
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