Applied Mathematics

In the present paper, we have generalized Shannon inequality for Aczel and Daroczy entropy and give its application in coding theory. We define mean codeword length and their bounds have been defined and a coding theorem on a lower and upper bounds of a generalized mean codeword length in terms of Aczel and Daroczy entropy has been proved.

Prior researches found several methods to construct 1- factorization using Steiner triple systems [1], the staircase method of Bileski [2], and etc. But not given any method of constructing 1- factors in complete graphs. In our previous work, we briefly explained this construction and published in an Abstract form in the iPURSE 2017. Generalization of that work is given in this paper. For complete graphs whose number of vertices is a multiple of 2, we implement our finding using Java program

In this work, a new algorithm is proposed and that can be used to construct strongly regular graphs from skew-Hadamard matrices. The proposed method is based on matrix manipulations and is similar to the construction given by Jayathilaka A.A.C.A. et al., where they considered Hadamard matrices. Two strongly regular graphs have been constructed by using skew-Hadamard matrices of order 2 and 4 and are drawn using a Java programme. Considering skew-Hadamard matrices of higher order, larger strongly regular graphs can be obtained and those can be used as networks with several nodes.

The objective of the present investigation is to analyze the radiation and mass transfer effects on an unsteady two-dimensional laminar convective boundary layer flow of a viscous, incompressible, chemically reacting and dissipative fluid along a semi-infinite vertical plate with suction. The equations of continuity, linear momentum, energy and diffusion, which govern the flow field are solved by using a regular perturbation method. The behavior of the velocity, temperature, concentration has been discussed numerically and graphically for variations in the governing parameters.

In this manuscript we will show what are the Laplace transforms. What is their relationship to differential equations? Where we will explain some general examples of this relationship through a brief explanation of some applications. This will be clarified through the articles of the manuscript as below.

After we covered the subject of Laplace transformations through two previous manuscripts. In this manuscript, we will discuss the definition of (Differential Influencer Method), which is a type of method for solving differential equations. As we explained through the example of the difference between (normal method) and (Laplace transform method) as mathematically supported solution methods.

In this article, we study one of the matrix analysis methods, which is the spectral decomposition method of the matrix, which is a very special case for the square and symmetric real matrix.

A comprehensive study of thermal radiation on a steady two-dimensional laminar flow of a viscous incompressible electrically conducting micropolar fluid past a stretching surface embedded in a non-Darcian porous medium is analyzed numerically. The governing equations of momentum, angular momentum, and energy equations are solved numerically using Runge- Kutta fourth order method with shooting technique. The effects of various parameters on the velocity, microrotation, and temperature field as well as skin friction coefficient, and Nusselt number are shown graphically and in tabulated. It is observed that the micropolar fluid helps in the reduction of drag forces and also acts as a cooling agent.

The aim of this study is to improve Poisson distribution for the approximation of a generalized binomial distribution and to combine the improved Poisson distribution with financial terms for the purpose of evaluating a European call and put option. It was found that the improved Poisson approximates generalized binomial when ? [ ], approximates generalized binomial sufficient enough n, B/A+B when and ? and also that the problem of option for non-dividend paying stock can be approached using an improved Poisson distribution function equipped with some financial terms. The .numerical results obtained is the same as in [4], using the numerical data. Relevant connections of our work with the earlier work is pointed out.

Equations governing the flow of a fluid with variable viscosity through an isotropic porous structure are derived using the method of intrinsic volume averaging. Viscosity of the fluid is assumed to be a variable function of pressure, and the effects of the porous microstructure are modelled in terms of Darcy resistance, Brinkman shear term, and Forchheimer effects.