Applied Mathematics

The Soret and Dufour effects of on mixed convection flow of a viscous incompressible radiating and dissipative fluid over an exponentially stretching vertical surface in a quiescent fluid is analyzed. Stretching velocity, wall temperature and wall concentrations are assumed to have specific exponential function forms. The governing system of partial differential equations is transformed into a system of ordinary differential equations using similarity transformations and then solved numerically using the Runge-Kutta fourth order technique along with shooting method. The effects of the various parameters on the velocity, temperature and concentration profiles are illustrated in graphically.

An analysis is carried out to study the parametric influences of thermal radiation and first order chemical reaction on a two dimensional unsteady heat and mass transfer flow of Newtonian viscous incompressible fluid past an oscillating plate with Soret effect. It is observed that, the temperature and the fluid velocity decrease due to increase in Peclet number (Pe), whereas the concentration as well as the velocity is found to decrease as mass transfer Peclet number ( ) increases. It is also seen that, the vorticity vector of fluid particles increases due to increase in frequency parameter and time but found to decrease as mass transfer Peclet number increases.

Let be a simple graph. A set is an Edge-Vertex dominating set of G (or simply an ev-Dominating set), if for all vertices , there exists an edge such that dominates . Let be the Star graph and let denote the family of all Edge-Vertex dominating sets of with cardinality . Let , be the number of Edge-Vertex dominating sets of with cardinality . In this paper, we study the concept of Edge-Vertex domination polynomials of Star graph . The Edge-Vertex Domination polynomial of is . We obtain some properties of and its coefficients. Also, we calculate the recursive formula to derive the Edge-Vertex Domination polynomials of Star graph.

Takano [1967] has studied the decomposition of curvature tensor in a recurrent space. Chandra [1972] has defined Neo-covariant derivative and its applications. In this paper, I have studied decomposition of Neo-curvature tensor field in Finsler recurrent spaces and several theorems have been established.

The aim of the present paper is to obtain the distribution of mixed sum of two independent random variables with different probability density functions. One with probability density function defined in finite range and the other with probability density function defined in infinite range and associated with product of Srivastava’s polynomials and Aleph-function. We use the Laplace transform and its inverse to obtain our main result. The result obtained here is quite general in nature and is capable of yielding a large number of corresponding new and known results merely by specializing the parameters involved therein. To illustrate, some special cases of our main result are also given.

The formalized theory of the identification of genotypes by their phenotypes in modern breeding technologies is offer. It erect on the mathematical model of the interaction "genotype-environment".

In this analysis, the viscous dissipation and heat source effects on free convective boundary layer slip flow due to induced magnetic field is studied. The governing partial differential equations are converted into ordinary differential equations by using the similarity transformations. In which the coupled non linear differential equations are solved by using regular perturbation technique. The effects of various parameters on the velocity, temperature, induced magnetic field and also the local skin friction, the rate of heat transfer are presented through graphically and tabulated values in detailed.

This paper describes the method for solving vibration problem of ring shaped electro–magneto -elastic plate of polygonal (Triangle, Square, Pentagon and Hexagon) cross-sections using Fourier Expansion Collocation Method. A mathematical model is developed to study the wave propagation in a electro-magneto-elastic plate of polygonal cross-sections using the theory of elasticity. The frequency equations are obtained from the arbitrary cross sectional boundary conditions, since the boundary is irregular in shape; it is difficult to satisfy the boundary conditions along the inner and outer surface of the plate directly. Hence, the Fourier Expansion Collocation Method is applied along the boundary to satisfy the boundary conditions. The roots of the frequency equations are obtained by using the secant method, applicable for complex roots. The computed non-dimensional frequencies are plotted in the form of dispersion curves and its characteristics are discussed. The problem may be extended to any kinds of cross-sections by using the proper geometrical relations.

Wavelet is a recently developed mathematical tool for many problems related to science and engineering. Wavelet also applied in numerical analysis and estimation. In this paper, A survey of Haar wavelet methods to solve PDEs is presented. Moreover, the use of Haar wavelets is found to be accurate, simple, fast, flexible, convenient, computationally attractive.

In this Chapater we prove two important results. Let L be a lattice. A congruence of L is said to be uniform, if any two congruence classes of are of the same size. The lattice L is said to be uniform, if all congruences of L are uniform. We prove that every finite distributive lattice D can be represented as the congruence lattice of a finite uniform lattice.