A Semi-Analytical Method for The Solution of Linear And Nonlinear Newell-Whitehead-Segel Equations

The aim of this work is to use a semi-analytical method “Reduced Differential Transform Method (RDTM)” for the solution of linear and nonlinear Newell-Whitehead-Segel Equations (NWSE). RDTM does not require linearization, transformation, discretization, perturbation or restrictive assumptions. To determine the performance measure of the RDTM, two illustrative examples were considered. The comparative study of the results obtained via the RDTM was compared with that of the exact solution. Hence, RDTM offers solutions with easily computable components as convergent series and is an alternative approach that overcomes the shortcoming of complex calculations of differential transform method

Determination of the Order and the Error Constant of an Implicit Linear-Four Step Method

The aim of this work is to determine the order and the error constant of an implicit linear-four step method namely “The Quade’s method”. From the results generated, It is observed that the method is of order six and the error constant is obtained as . The Local Truncation Error (LTE) of the general implicit linear four-step is obtained

WAVEFORM AND GEODYNAMIC MODELING OF SEISMICITY ASSOCIATED WITH THE CHARLEVOIX SEISMIC ZONE

WAVEFORM AND GEODYNAMIC MODELING OF SEISMICITY ASSOCIATED WITH THE CHARLEVOIX SEISMIC ZON

Executives Perception of the Impact of Flexitime on Organizational Performance: Evidence from the Nigerian Private Sector

The paper investigates the perception of Nigerian executives on the impact of flextime on organizational performance. Effort is made to explore the attitudinal disposition of employees towards flextime and how gender affects employee satisfaction with flexitime. The study, based on administered questionnaires as the main medium for data collection from managers in private sector of the Nigerian economy, utilizes correlations and multi-variate regression analysis to determine variables that significantly contribute to manager’s satisfaction with flexible work arrangement. The study finds that marital status and gender exert significant negative impact on level of satisfaction with flexitime. In addition, gender, marital status and motivation capabilities of flexitime were found to be a significant determinant of satisfaction with flexitime. Therefore, given the cultural context of the study it does appear that organizations might find it profitable to adopt a flexitime policy so as to relieve their employees some family or domestic burden with the attendant motivation benefit that increases employee performance

A Semi-Analytic method for Solving Nonlinear Partial Differential Equations

In this article, Adomian’s decomposition method is used to give an analytical solution to homogeneous partial differential equations modeling problems in sciences and engineering. The solution algorithm yields a rapidly convergent sequence of analytic approximants, which is readily computable, without recourse to linearization, perturbation and discretization as practiced by the traditional methods. The method provides direct scheme for solving the problems and is capable of greatly reducing the size of computational work while still maintaining high accuracy when compared with the theoretical solution. The method can also help to overcome the problems caused by the shortage of analytical methods for the computation of solutions to nonlinear differential equations. Keywords: Adomian’s decomposition method, Nonlinear differential equations, Adomian’s polynomials, Polynomial approximations

In-Situ Chemical Oxidation of Hydrocarbon Contaminated Groundwater (A Case Study of Baruwa Community, Lagos, Nigeria)

A chemical oxidation of hydrocarbon contaminated site is attempted by using potassium permanganate (KMnO4) through injection into five hand dug wells within a pilot test area one hectare. The aim is to improve the quality of groundwater by degrading the soluble organic materials for further treatment and polishing, while incorporating bioremediation. The Background characterisations of groundwater and contaminant studied have been previously carried out (Adekunte 2008; Balogun 2009). 50 g/litre of potassium permanganate (KMnO4) was used as oxidant for the remediation of the Total Petroleum Hydrocarbons (TPH) in the pilot test area, the delivery of oxidant was done by gravity feed to the monitoring wells up to a height of 600 mm (2 ft) above water levels. Oxidation study was carried out by observing the TPH for and other parameters during the process of In-situ Chemical Oxidation (ISCO) remediation for 30 weeks. A reduction in Total Petroleum Hydrocarbons (TPH) ranging from 92.28% to 99.86% was observed within the period. The maximum TPH value of 512 ppm was observed at well W53, while the minimum observed TPH at the end of thirty weeks was 0.7 ppm at the same well

The Comparative Study of Finite Difference Method and Monte Carlo Method for Pricing European Option

Numerical methods form an important part of options pricing and especially in cases where there is no closed form analytic formula. We discuss two of the primary numerical methods that are currently used by financial professionals for determining the price of an options namely Monte Carlo method and finite difference method. Then we compare the convergence of the two methods to the analytic Black-Scholes price of European option. Monte Carlo method is good for pricing exotic options while Crank Nicolson finite difference method is unconditionally stable, more accurate and converges faster than Monte Carlo method when pricing standard options. Keywords: Option, European option, Asian option, Monte Carlo Method, Finite difference method

Rapid and robust spin state amplification

Electron and nuclear spins have been employed in many of the early demonstrations of quantum technology (QT). However applications in real world QT are limited by the difficulty of measuring single spins. Here we show that it is possible to rapidly and robustly amplify a spin state using a lattice of ancillary spins. The model we employ corresponds to an extremely simple experimental system: a homogenous Ising-coupled spin lattice in one, two or three dimensions, driven by a continuous microwave field. We establish that the process can operate at finite temperature (imperfect initial polarisation) and under the effects of various forms of decoherence.Comment: 5 pages, 2 figure

MEASUREMENT AND ESTIMATION OF SOIL WATER CHARACTERISTIC CURVE FOR FOUR UNSATURATED TROPICAL SOILS

Infrastructures are mostly built on unsaturated soil in the tropical region such as Nigeria, yet soil investigations and designs are based on saturated soil mechanics owing to difficulties associated with soil suction measurements using direct methods such as pressure plate extractor, triaxial testing equipment for testing unsaturated soil, etc. Soil water characteristic curve is an important parameter for estimating unsaturated soil property function. This research considered an indirect method (filter paper) of laboratory soil suction measurement (which is relatively simple, fast and inexpensive) and predictive correlation equations for estimating soil water characteristic curve from index properties of soil for four unsaturated tropical soils of Nigeria, three predictive correlation equations were used in this research namely; Navid et al model (2012), Zapata et al model (2000) and Witczak model (2006), the soil water characteristic curve constant parameters computed from these models were fitted through either Van Genuchten model (1980) or Fredlund & Xing model (1994). Results of air entry values of soils from experimental work and predictive correlation equations were in close range which indicated that in spite of the difficulties experienced in performing laboratory suction test, the predictive correlation equations such as the ones used in this research were found to be proper for estimating soil water characteristic curve

Mobility of the Poor in Akure Metropolis: Income and Land Use Approach

Nigeria being a developing economy still has a high percentage of low income earners. Mobility and modal choice affect us all in our daily life whether we are commuting to work or for recreational purpose. Catering for the effective and efficient mobility of this unique set of low income earners is a task for transport planners. This research assessed the mobility of the poor using land use and level of income. The study area was divided into six zones based on the land use configuration.Income level, frequency of trip and the predominant modal choice for both work and business trip were evaluated. The result showed that the use of taxi and motor cycle in the study area is high. The low income group has the highest frequency of trip base on the level of income and land use. The result of this research will aid the government at all levels and policy makers in formulating a good transportation scheme for the low income earners now and in the foreseeable future. It will also provide policy makers with an improved understanding of the travel behavior of the poor and their preferred modal choic