Department of Mathematics

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Mathematics

An attempt is made to obtain the Finite Element Solutions to steady state and transient state heat conduction problems using the hybrid of Block-Pulse functions and Lagrange interpolation polynomial. This method can be used to obtain accurate results. The finite element results are compared with the corresponding results obtained using quadrature methods and found to be in good agreement. © Research India Publications.

World University root node

School of Advanced Sciences

Chennai Campus

Global Journal of Pure and Applied Mathematics

Finite element solutions using hybrid of block-pulse functions and lagrange polynomial

Directed interconnection networks have gained much attention in the area of parallel and distributed computing. In this paper we compute the exact Wirelength of embedding directed hypercube into grid. © Research India Publications.

International Journal of Applied Engineering Research

Wirelength of directed hypercubes into grids

In the present paper, we introduce new subclass (Formula presented) (ρ, δ,λ,α) PSC of analytic function with respect to 2k-symmetric conjugate points. Such results as integral representations, convolution conditions and coefficient inequalities for this class is provided. © Research India Publications.

Some properties of subclass of analytic functions with respect to 2k-symmetric conjugate points

Nonlinear hydromagnetic two dimensional steady, laminar, hydromagnetic boundary layer flow of a viscous, incompressible, electrically conducting and radiating fluid, with nonlinear radiation past a porous plate stretching with a power-law velocity distribution is analysed in the presence of a variable magnetic field. The fluid is assumed to be a gray, emitting, absorbing but non-scattering medium. Governing nonlinear partial differential equations are transformed to nonlinear ordinary differential equations by utilizing suitable similarity transformation. Then the resulting nonlinear ordinary differential equations are solved numerically using Fourth-Order Runge-Kutta shooting method along with the Nachtsheim-Swigert iteration for satisfaction of asymptotic boundary conditions. The numerical results for velocity and temperature distribution are obtained for different values of porosity parameter, velocity exponent parameter, magnetic interaction parameter, surface temperature parameter, radiation parameter, and Prandtl number and are shown graphically. Numerical values of skin friction coefficient and nondimensional rate of heat transfer are also derived. © Research India Publications.

Hydromagnetic flow with forced convection past a porous nonlinearly stretching surface with variable magnetic field and nonlinear radiation effects

The replacement problem is to decide the best choice to determine the period at which the replacement is most economical instead of continuing at increased cost due to maintenance and other factors. Due to some practical difficulty, the cost involved in Replacement problems are uncertain by nature. For such cases the fuzzy parameters can be used to tackle the uncertainity. This kind of problems are called fuzzy replacement problem. In this paper we propose a new method which is similar to the classical replacement problem method to find the replacement time for fuzzy replacement problem with value of money does not change with the time by using the ranking method using Haar wavelet called Haar ranking method. The results discussed in this paper ensure the validity of our method. © Research India Publications.

Haar ranking based fuzzy replacement problem

This paper presents a non-linear mathematical model of malaria by considering the human reservoir and larvivorous fishes. The different equilibria of the model are computed and stability of these equilibria is investigated in-detail. Also, the basic reproduction number R0 of the model is computed and we observe that the model exhibits backward bifurcation for some set of parameters implying the existence of multiple endemic equilibria for R0 < 1. This existence of multiple endemic equilibria emphasizes the fact that R0 < 1 is not sufficient to eradicate the disease from the population and the need is to lower R0 much below one to make the disease-free equilibrium to be globally stable. The numerical simulation is performed to support analytical findings and the presented results show meaningful agreement. Additionally, the model is extended to incorporate optimal control by introducing the 'insecticide control' to control the mosquito population and Pontryagin's maximum principle[1] is used to analyze the optimal control model. Here too the numerical simulation is performed to demonstrate the effect of optimal control. © 2015 NSP Natural Sciences Publishing Cor.

Applied Mathematics and Information Sciences

Stability analysis and optimal control of a malaria model with larvivorous fish as biological control agent

Graph embedding problems have gained importance in the field of interconnection networks for parallel computer architectures. Interconnection networks provide an effective mechanism for exchanging data between processors in a parallel computing system. In this paper, we embed the rooted hypertree RHT(r) into r-dimensional hypercube Qr with dilation 2, r ≥ 2. Also, we compute the exact wirelength of the embedding of the r-dimensional hypercube Qr into the rooted hypertree RHT(r), r ≥ 2. © Journal of Graph Algorithms and Applications.

Department of Design and Automation

School of Mechanical Engineering

Vellore Campus

Journal of Graph Algorithms and Applications

Embeddings Between Hypercubes andHypertrees

Let G = (V, E) be a graph. An injective function f:V→N is said to be a k-Zumkeller labeling of the graph G if the induced function f*:E→N defined by f*(xy)=f(x)f(y) satisfies the following conditions(i)For every xy∈E, f*(xy) is a Zumkeller number.(ii)|f*(E)|=k, where |f*(E)| denotes the number of distinct Zumkeller numbers on the edges of the graph G. In this paper we prove that twig graphs admit a 4-Zumkeller labeling. © 2015 Elsevier B.V.

Electronic Notes in Discrete Mathematics

K-Zumkeller Labeling for Twig Graphs

Nonlinear hydromagnetic two dimensional steady, laminar, boundary layer flow of a viscous, incompressible, electrically conducting and radiating fluid with variable conductivity and nonlinear Rosseland approximation thermal radiation past a nonlinearly stretching porous surface is analysed in the presence of a variable magnetic field. The fluid is assumed to be a gray, emitting, absorbing but non-scattering medium. Governing nonlinear partial differential equations are transformed to nonlinear ordinary differential equations by utilizing suitable similarity transformation. Fourth-Order Runge-Kutta shooting method along with the Nachtsheim-Swigert iteration for satisfaction of asymptotic boundary conditions is utilized for obtaining the numerical solution of the resulting nonlinear differential equations. The numerical results for velocity and temperature distribution are obtained for different values of velocity exponent parameter, magnetic interaction parameter, porosity parameter, radiation parameter, surface temperature parameter, variable thermal parameter and Prandtl number and are shown graphically. Numerical values of Skin friction coefficient and dimensionless and rate of heat transfer are also obtained and tabulated. © Research India Publications.

MHD boundary layer flow with heat transfer, variable conductivity and nonlinear rosseland approximation thermal radiation effects past a nonlinearly stretching porous surface with a power-law velocity

The purpose of this paper is to discuss the problem of intuitionistic fuzzy lim semigroup compactification on intuitionistic fuzzy convergence topological semigroup and prove that the set of all intuitionistic fuzzy lim semigroup compactification of an intuitionistic fuzzy convergence topological semigroup is an upper complete semi Lattice.