Scholarly works in the Department of Mathematics
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Item Thermodynamic Second Law Analysis of Hydromagnetic Gravity-Driven Two-step Exothermic Chemical Reactive Flow with Heat Absorption Along a Channel(Iranian Journal of Energy and Environment, 2018) Okedoye, Akindele M.; Salawu, S. O.This study examines the second law of thermodynamic gravity-driven viscous combustible fluid flow of twostep exothermic chemical reaction with heat absorption and convective cooling under bimolecular kinetic. The flow is acted upon by periodic changes in the axial pressure gradient and time along the axis of the channel with the existence of magnetic field. The heat convection at the channel surfaces with the environment are the same and satisfies Newtons law of cooling. The dimensionless main equations of the flow are solved using a convergent and stable semi-implicit finite difference method. The effect of some fluid parameters associated with the problem on momentum and temperature are obtained. The expression for irreversibility ratio, volumetric entropy generation and Bejan number along with the graphically results are presented and quantitatively discussed.Item ON THE TECHNOLOGICAL PROMISES AND CHALLENGES FACING E-BUSINESSES IN NIGERIA(International Institute for Science, Technology and Education (IISTE): E-Journals, 2012-12) UGBENE, Ifeanyichukwu Jeff; UGWU, Ejike; EZE, Everestus ObinwanneThis paper attempts to address the technological promises and challenges facing e-business in Nigeria. E-business represents a major opportunity for developing nations that can access it effectively and a threat to those that cannot. E-business holds great promise and challenges for Nigeria in ten areas: what is really e-business, potential benefits of the internet in Nigeria, the development context in Nigeria, e-business: towards a conceptual understanding, strategies to encourage the ICT infrastructure in Nigeria, technology requirements and components for e-business in Nigeria, technology services, the challenges faced by Nigerians in the use of e-business, the policy challenge for Nigeria and finally, the impact of information technology upon productivity in Nigeria.Item A Contingent Claim Approach to Bank Valuation(Scientific Research Publishing, 2014) Okedoye, Michael Akindele; Owoloko, Enahoro Alfred; Omoregbe, Nicholas AmienwanIn this paper, the model formulated incorporated stochastic variables such as bank loans and deposits as well as some deterministic variables: cash available, depreciation, capital expenditure, tax and costs, comprising variable costs and fixed costs. This paper assumes that the dynamics of bank loans and deposits at time t follow a geometric Brownian motion, therefore, it satisfies certain stochastic differential equations (SDEs) formulated on some probability space. On the other hand, the growth rate μL(t) in loan at time t, growth rate μD(t) in deposit at time t, and the variable cost η(t) at time t are assumed to be driven by mean-reverting Ornstein-Uhlenbeck processes. The SDEs of the dynamics of bank loans, growth rate in loans, bank deposits, growth rate in deposits and variable cost arising from the model were solved by means of the ItÔ Lemma. Discrete time approximations of the exact solutions of the SDEs were derived and used in a Monte Carlos simulation software.Item Effect Of Nonlinear Radiative Heat And Mass Transfer On Mhd Flow Over A Stretching Surface With Variable Conductivity And Viscosity(Journal of the Serbian Society for Computational Mechanics, 2019) Akindele M. Okedoye; Sulyman O. SalawuA theoretical investigation on the flow of nonlinear magnetohydrodynamic (MHD), laminar, viscous, incompressible boundary layer fluid with thermal radiative heat transfer and variable properties past a stretching plate was carried out. The liquid is taken to be gray, absorbing, emitting but with non-scattering medium. The main nonlinear equations governing the flow are reduced to ordinary differential equations by using appropriate similarity variables and quantities. The obtained nonlinear equations are computationally solved by applying shooting techniques coupled with Nachtsheim-Swigert method for asymptotic satisfaction of boundary conditions by fourth order Runge Kutta scheme. The computational results for momentum and heat distribution are obtained for various values of the emerging parameters. The results for the coefficient of skin friction and dimensionless heat gradient are likewise obtained for different physical parameters values. From the study, it was observed that the parameters which enhanced the heat source terms decreased the fluid viscosity and caused increase in the flow rate. Also, parameter that reduced heat source terms encouraged viscosity which resulted in retardation of the fluid velocity.