ABSTRACT Unsteady heat and mass transfers are important transport phenomena that are found in many engineering and industrial applications. In such systems, the variations in the fluid flow result in variations in the heat flux for fluid-solid temperature difference. In this study, analytical and theoretical investigations of some non-linear problems arising from unsteady heat and mass transfer through porous media are considered. Analytical models are developed. These are non-linear mathem...
Abstract By utilizing some basic analytical techniques, the authors establish some new Gamma function inequalities occurring in the study of Probability Theory.
Abstract. In this paper, we present the (p,q)-analogues of some inequalities concerning the digamma function. Our results generalize some earlier results.
Abstract Some inequalities involving the k-digamma function are presented. These results are the k-analogues of some recent results.
Abstract The mathematical study of human pulse wave was studied with the view to gaining an insight into physiological situations. Fluid-Structure Interaction (FSI) in blood flow is associated with pressure pulse wave arising from ventricular ejection. Solution of the coupled system of non-linear PDEs that arose from the FSI was sought in order to determine pressure. Further study on pressure pulse waves showed that the Korteweg-de Vries (KdV) equations hold well for the propagation of nonl...
ABSTRACT In this dissertation, the problems of Magnetohydrodynamic unsteady free convection flow past vertical porous plates with suction and oscillating boundaries are studied. The linear and nonlinear partial differential equations governing the flow problems and boundary conditions were transformed into dimensionless form, and the perturbation techniques applied in getting analytical solutions for the velocity, temperature, the skin friction coefficient and Nusselt number. It was obse...
ABSTRACT Infectious diseases have become problematic throughout the world, threatening individuals who come into contact with pathogens responsible for transmitting diseases. Pneumoccocal pneumonia, a secondary bacterial infection follows an influenza A infection, responsible for morbidity and mortality in children, elderly and immuno–comprised groups. The aims of this Thesis are to; develop a mathematical model for within–host co–infection of influenza A virus and pneumococcus, model ...
ABSTRACT There is speed limitation on hardware built on Weighted Number Systems (WNS) due to carry propagation. In recent years, attempts have been made to circumvent the speed limitation imposed on WNS in arithmetic operations by investigating into number systems such as Residue Number System (RNS) which has special carry characteristics for parallel computations. RNS is carry-free in nature and is able to support parallel and high speed arithmetic such as addition and multiplication. Overfl...
Abstract In this short paper, the authors establish some inequalities involving the q and (q,k) deformed Gamma functions by employing some basic analytical techniques.
ABSTRACT The no-slip boundary condition at a solid-liquid interface is primarily to understanding fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. In this work, we investigate numerically and theoretically the subject involving partial slip boundary conditions. The physical imagery that emerges is that of a complex behaviour at an unsteady hydromagnetic stretching solid interface, with stagnation point ...
ABSTRACT In this research, we investigated the deformation field near a crack tip due to thermal stress. Crack tip singularities are examined using a line integral that exhibits path independence of all contours near the tip of the crack in a two-dimensional deformation field of an elastic material. The approach of using the J- Integral is used to extract the magnitude of crack tip stress intensity factor for thermal stress crack problem. The characteristics of the J-integral in the presence...
Abstract In this paper, we present the k-analogues of some inequalities concerning the digamma function.
ABSTRACT In this thesis, the notion of quasiconvex functions on time scales and some properties are established. The subdifferential for quasiconvex function on time scales is presented as well as some properties regarding quasiconvex function. Some Jensen’s inequalities for quasiconvex functions on time scales are also given with some applications. The study again proves that Jensen’s inequality holds for quasiconcave monetary utility function in conjunction with convex, concave, quasi...
ABSTRACT The Currency in Circulation is the outstanding amount of notes and COIns circulated in the economy and are the most liquid monetary aggregate. In this study, data on monthly Currency in Circulation obtained from the Bank of Ghana database was modelled using both SARIMA model and Regression model with ARIMA errors. The results revealed that ARIMA (0, 1, 1)(0, 1, 1)12 model was the best SARIMA model for the Currency in Circulation. This model has the least AIC of -372.16, AICc of -37...
ABSTRACT Generally this research used Linear Programming techniques to investigate the budgetary allocation of MTN Company for effective media selection planning. The problem was formulated as a linear programming technique by using the available data obtained from the company and other media sources. Mathematical software which embodied the simplex algorithm techniques such as Quantitative Manager for Business version 3.2 and Linear Programming Solver version 5.2.2 were used to solve the res...