A Legendary Polynomial Approach to Solutions of Volterra Integro-Differential Equations with Delay

This paper presents a numerical computation approach to the solution of Volterra Integro-Differential Equation with delay via legendary Polynomial  method. Computational code was developed and implemented on a Mathematical Software (Matlab 2009b) to solve the problem. The accuracy, efficiency  and effectiveness of the method of solution were ascertained by comparing the solution obtained with the exact solution in the literature and it showed  that the present results were in agreement with both the exact and existing result

Effect of Hall current and thermal radiation on heat and mass transfer of a chemically reacting MHD flow of a micropolar fluid through a porous medium

Heat and mass transfer effects on an unsteady flow of a chemically reacting micropolar fluid over an infinite vertical porous plate through a porous medium in the presence of a transverse magnetic field with Hall effect and thermal radiation are studied. The governing system of partial differential equations is transformed to dimensionless equations using dimensionless variables. The dimensionless equations are then solved analytically using the perturbation technique to obtain the expressions for velocity, microrotation, temperature and concentration. With the help of graphs, the effects of the various important parameters entering into the problem on the velocity, microrotation, temperature and concentration fields within the boundary layer are discussed. Also the effects of the pertinent parameters on the skin friction coefficient and rates of heat and mass transfer in terms of the Nusselt number and Sherwood number are presented numerically in a tabular form. The results show that the observed parameters have a significant influence on the flow, heat and mass transfer

Effect of thermal radiation and Hall current on heat and mass transfer of unsteady MHD flow of a viscoelastic micropolar fluid through a porous medium

Heat and mass transfer effects on unsteady flow of a viscoelastic micropolar fluid over an infinite moving permeable plate in a saturated porous medium in the presence of a transverse magnetic field with Hall effect and thermal radiation are studied. The governing system of partial differential equations is transformed to dimensionless equations using dimensionless variables. The dimensionless equations are then solved analytically using perturbation technique to obtain the expressions for velocity, microrotation, temperature and concentration. With the help of graphs, the effects of magnetic field parameter M, thermal radiation parameter Nr, Hall current parameter m, K, viscoelastic parameter a, and slip parameter h on the velocity, microrotation, temperature and concentration fields within the boundary layer are discussed. The result showed that increase in Nr and m increases translational velocity across the boundary layer while (a) decreases translational velocity in the vicinity of the plate but the reverse happens when away from the plate. As h increases the translational velocity across the boundary layer increases. The higher the values of Nr, the higher the micro-rotational velocity effect while m lowers it. Also the effects n, a, m, Nr, Pr and Sc on the skin friction coefficient, Nusselt number and Sherwood numbers are presented numerically in tabular form. The result also revealed that increase in n reduces the skin friction coefficient. Pr enhances the rate of heat transfer while Sc enhances the rate of mass transfer

Convection heat and mass transfer in a hydromagnetic flow of a micropolar fluid over a porous medium

This study presents a mathematical analysis of a hydromagnetic boundary layer flow, heat and mass transfer characteristics on steady twodimensional flow of a micropolar fluid over a stretching sheet embedded in a non-Darcian porous medium with uniform magnetic field in the presence of thermal radiation. The governing system of partial differential equations is first transformed into a system of non- linear ordinary differential equation using the usual similarity transformation. The resulting coupled non-linear ordinary differential equations are then solved using perturbation technique. With the help of graphs, the effects of the various important parameters entering into the problem on the velocity, temperature and concentration fields within the boundary layer are separately discussed. The effects of the pertinent parameters on the wall temperature, wall solutal concentration, skin friction coefficient and the rate of heat and mass transfer are presented numerically in tabular form. The results obtained showed that these parameters have significant influence on the flow

STABILITY ANALYSIS OF TWO -VARIABLE MODEL FOR COMBUSTION IN SEALED CONTAINER

The paper studies a model for combustion of self heating chemicals which are in drums inside a sealed shipping container. The stability of interacting drums of chemicals is a problem of great importance for the safety of manufacturers, users and handlers of the energetic material. Since the rate of reaction varies rapidly with temperature, the paper objectively examines the role of temperature on stability of the energetic materials and specifically investigates the effect of temperature broadening exponent called numerical exponent on its stability. The criteria for which stable focus, unstable focus and Hopf’s bifurcation may occur in the new model are established. Of major interest is a criterion on the numerical exponent for which maximum ambient temperature could be attained. Key Words: stability, reaction order, temperature broadening exponent, sealed containe

An empirical evaluation of security tips in phishing prevention: A case study of nigerian banks

To shield users from phishing scams, various online brands send security tips as email, SMS and online posts to their customers. This paper presents the first empirical evidence about the effectiveness of the security tips in phishing prevention from customers' perspective in Nigerian financial sector. We developed anti-phishing questionnaire which captured the basic essence of most security tips messages and formulate two hypotheses. We then test our hypotheses using an experimental method with 247 participants. The experimental method was divided into a Pretest which evaluates our first hypothesis and a Posttest which evaluates our second hypothesis. The results illustrate that most customers do not understand the security tips at statistical confidence interval of 95% using the Mann Whitney Test