Voulume: 22

Issue: 2

Sanjay Choudhary

Lalit Kumar Sharma

Brijendra Kumar Tiwari

The aim of this paper is to obtain a new common fixed point theorem in intuitionistic fuzzy metric space. Our theorem is a generalization of result of M.S. Chouhan, *et al*. ^{4} in i intuitionistic fuzzy metric space.

K.K. MATHUR

S. BAHADUR

Let

z_{o} = 1, z_{2n+1} = - 1, z_{k} = cos ¢_{k} + i sin ¢_{k}

z _{n+k} =z_{k} k = 1(1) n

be the vertical projections on unit circle of the zeros of (1-x^{2}) P_{n} (x), where P_{n} (x) stands for n^{th}_{ }Legendre polynomial having zeros x_{k} = cos ¢_{k}, k = 1(1) n such that 1 > x_{1} > … > x_{n} > - 1. In this paper, we obtain regularity, explicit representation and convergence of mixed type (0, 1, 3)-interpolation on unit circle.

G.V. Ramana Reddy

N. Bhaskar Reddy

Ch. V. Ramana Murthy

The aim of the present analysis is to examine the magnetic and mass diffusion effects on the free convection flow when the plate is made to oscillate with a specified velocity. It is assumed that the plate is embedded in the porous medium. It is noticed that as the `*Sc*' increases the velocity field decreases. Further, it is observed that on the boundary (*y = 0*) the Schmidt number does not have any effect, while as we move far away from the plate the effect is found to be significant. Also, it is found to be oscillatory in this nature as we move far away from the plate. It is noticed that `*Pr*' number is increased the velocity field decreases almost exponentially when *Pr = 0.71*. However, in all other cases the effect is *found* to be oscillatory as we move far away from the plate. It is noticed that as `*Sc*' increases the concentration is found to be decreasing. When the applied magnetic effect is held constant and as *Pr* increases an increasing trend in the skin friction is noticed.

S. Sekar (sekar-nitt@rediffmail.com)

G. Balaji

This paper presents a study on RLC smoothing circuits using single-term Haar Wavelet series (STHW) technique and fourth order Runge-Kutta method (RK). The solution is obtained both in exact and discrete form. The results are compared with the results obtained by Palanisamy *et al.*^{4}. Here, it is suggested that when the output of a digital to analogue converter is a staircase function, one has to introduce the initial condition at every subinterval for the given range to achieve accurate results.

Ch.V. Ramana Murthy

K.V. Chandra Sekhar

The objectives of the present study is to investigate the nature of the velocity field of an unsteady heat and mass transfer flow of a chemically reacting fluid past a semi infinite vertical plate with viscous dissipation. The method of the solution is valid only for small perturbation approximation. Results for the velocity field and the effect of various critical parameters are illustrated graphically. It is noticed that as Schmidt number increases the velocity field is found to be decreasing and after at a certain distance away from the plate , reverse trend is noticed. It is observed that at certain stage backward flow is noticed, and there exist a situation where (irrespective of value of Schmidt number) the velocity is constant. It is seen that profiles for velocity field are found to be more parabolic and subsequently, the parabolic nature is being lost as Schmidt number increases. Also, as time increases the velocity increases when Solutal Grashof number is maintained at 0.80. Initially as chemical reaction parameter increases, the velocity field increases and as we move far away from plate a reverse trend is noticed and also a backward flow is observed. At a very small interval of time (t = 2.50) the backward flow can be attributed due to the increased concentration of the fluid medium. An interesting observation is that, initially as Solutal Grashof number increases the velocity field increases and thereafter as we move far away from the plate a reverse effect is noticed.

R.C. Upadhyay

R.H. Singh

Taking into account the effects of shear and angular momentum we present the evolution of nonlinear density perturbations of the system. Starting from the standard spherical collapse model in which these terms are left we present a physically motivated condition which specifies the dependence of these term on µ. The new idea is a Taylor series expansion in (1/µ) to model the nonlinear epoch, and it leads to the formation of stable structures in which the gravitational collapse is halted at around the virial radius.

R.S. Chandel

Vijay Gupta

Akhlak Mansuri

The purpose of this paper is to introduce and study the concept of fuzzy quasi connectedness and its stronger form in fuzzy bitopological space.

Kailash Kumar Namdeo

Rajesh Shrivastava

Manoj Sharma

The notion of fuzzy sets was introduced by Zadeh. Many authors^{5,6,8,9} have studied fixed point theory in fuzzy metric spaces. In the sequel, we shall adopt the usual terminology, notation and conventions of L-fuzzy metric spaces introduced by Saadati^{11,12} which are a generalization of fuzzy metric spaces and intuitionistic fuzzy^{2} metric spaces. In this paper we prove a common fixed point theorem in L Fuzzy Metric Space which is generalization of result in Adibi *et.al*.^{1 }

S. Venkatesan

R. Sattanathan

Graceful labeling is assignment of distinct labels from *f {0*,…., |*E|} *to vertices of graph, where edges are labeled by difference of absolute values of adjacent vertices and every label from *f {1,2*,….,|*E|} *is used exactly once as an edge label. The edge gracefulness is reversal of gracefulness. It involves labeling edges, rather than vertices, with an induced numbering consisting of sums of edge- labels, rather than differences of vertex labels. It is still not known, if every tree has a graceful labeling. In this paper, we are discussing about the edge graceful labeling of bicycle graphs and its uniqueness.

U.S. Negi (usnegi7@gmail.com)

Ashish Semwal

Takano^{1} has studied decomposition of curvature tensor in a recurrent space; Sinha and Singh^{4} have studied on decomposition of recurrent curvature tensor fields in Finsler space. Sinha^{2} has studied on H-curvature tensors in Kaehler manifold. Further, Singh^{5} has studied on decomposition of recurrent curvature tensor fields in a Kaehlerian space. Also, Singh and Petwal^{9} have studied on decomposition of curvature tensor fields in Tachibana recurrent spaces. In the present paper, we have considered the decomposition of curvature tensor field R^{h}_{ijk} in terms of a vector field and two tensor fields and several other theorems have been derived.

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