Applied Mathematics

Hydromagnetic and thermal radiation effects on unsteady free convective flow of a viscous incompressible flow past an exponentially accelerated infinite isothermal vertical plate with variable mass diffusion has been considered. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised to and the concentration level near the plate is raised linearly with time. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is exponentially accelerated with a velocity in its own plane against gravitational field. The effects of velocity, temperature and concentration are studied for different physical parameters like magnetic field parameter, thermal radiation parameter, thermal Grashof number, mass Grashof number and Schmidt number. It is observed that the velocity increases with decreasing magnetic field parameter or radiation parameter. But the trend is just reversed with respect to or .

In this work a new integral transform, namely Tarig transform was introduced and applied to solve linear systems of Integro-differential equations with constant coefficients. The brilliance of the method in obtaining analytical solution of some systems of volterra integral and Integro-differential equation.

This paper is focused on the study of mixed convective heat and mass transfer on the steady MHD flow of a heat absorbing fluid in a permeable vertical plate subject to the influence of buoyancy, viscous dissipation, Joule heating and Soret effect embedded with slip condition at the boundary layer. The momentum, energy and mass diffusion equations are coupled non-linear partial differential equations which are solved by perturbation technique. The effect of skin friction, Nusselt number and Sherwood number distributions are shown in tables. The numerical results are shown on graphs. The effects of various significant parameters entering into the problem have been discussed in detail.

In this paper, we obtain successive differentiation and change of argument associated with Gould-Hopper polynomials. We also derived generalized Curzon's integral and linear generating relations.

The effect of temperature dependent viscosity and thermal conductivity on magneto hydrodynamic flow, heat and mass transfer of an incompressible micropolar fluid past an accelerated infinite vertical plate is studied where the viscosity and thermal conductivity are assumed to be inverse linear functions of temperature. The partial differential equations governing the flow, heat and mass transfer of the problem are transformed into dimensionless form of ordinary differential equations by using similarity substitutions. The governing boundary value problems are then solved numerically using shooting method. The effects of various parameters viz. viscosity parameter, thermal conductivity parameter, mass transfer parameter, coupling constant parameter, Prandtl number, Schmidt number, Grashoff number, Reynolds number and magnetic parameter on velocity, micro-rotation, temperature and concentration field are obtained and presented graphically. The Skin-friction, Nusselt number and Sherwood number are also computed and presented in table.

In this paper, we prove the existence of mild solutions for fractional semilinear integro- differential systems with infinite delay in ?-norm in Banach spaces. The results are obtained by using Banach contraction principle and Schauder's fixed point theorem. In the end, we give an example to illustrate the applications of the abstract results.

Peroxodisulfate was simply supported on a weakly basic ion exchange resin by elution of a column containing the resin with an aqueous potassium peroxodisulfate solution. Resin supported peroxodisulfate was used for mild and selective ?-iodination of 1,3-dicarbonyl and ?,?-unsaturated carbonyl compounds in the presence of molecular iodine in acetonitrile at room temperature. Also direct and efficient iodination of activated aromatic compounds was performed in acetonitrile under reflux conditions.

In this paper, we consider the 2nth-order symmetric differential expressions with real-valued coefficients. We obtain a necessary and sufficient condition for the discreteness of the spectrum of 2nth-order self-adjoint differential operators.

Classification is an important Data Mining Technique with broad applications in every walk of life. It is termed as classifying each item in a set of data into one of predefined set of classes or groups. The present study compares the performance evaluation of Naïve Bayes, Random Forest, k Star, Multilayer Preceptron, j48 classification algorithm and Rough Set Theory. The paper presents the experimental results about classification accuracy and explores that the accuracy of Rough Set Theory is improved than other algorithms. Keywords: Rough Set Theory, Naïve Bayes, Random Forest, k Star, Multilayer Precepron and j48.

This paper extends the work of Hernandez [5] to functions of two variables in which the emphasis is given to the influence of convexity on Newton-Raphson’s method using two functions with different degree but having the same solution. Upon the properties of logarithmic degree of convexity the third order convergent iterative method for the solutions of systems of nonlinear equations which avoids the computation of second order derivative of the function is obtained. The result shows the accelerated Newton-Raphson’s method is faster than the other methods considered in this paper.