[ad_1] ABSTRACT This research work is concerned with the time series analysis on the rate of typhoid fever cases in Abia state from 2001-2010, with Abaia state university teaching hospital Aba as a case study.…
Read More[ad_1] ABSTRACT This study was intended to study the relationship between crime and traffic congestion in oshodiapapa axis of Lagos state. This study was guided by the following objectives; To provide this missing link by…
Read More[ad_1] CHAPTER ONE 1.1 INTRODUCTION University of Uyo Teaching Hospital since its inception in 1994 has received considerable amount of people, for treatment medical advice, family planning and a host of other reason. Different categories of…
Read More[ad_1] ABSTRACT It has been proved that in non linear programming, there are five methods of solving multivariable optimization with constraints. In this project, the usefulness of some of these methods (Kuhn –…
Read More[ad_1] CHAPTER ONE 1.1 INTRODUCTION The increasing desire of the government and civilization to improve the maintenance of law and order and to engage in crime prevention, has led to the search for data on all…
Read More[ad_1] CHAPTER ONE INTRODUCTION 1.1.BACKGROUND OF THE STUDY The occurrence of fatal road accidents in Nigeria is alarming. Road accidents in Nigeria overtime have witnessed an unprecedented geometric rise. This has been a major concern…
Read More[ad_1] CHAPTER ONE 1.0 INTRODUCTION Public finance is a field of economics concerned with how government raises money, how that money is spent and the effect of these activities on the economy and on the society.…
Read More[ad_1] CHAPTER ONE INTRODUCTION 1.1. Background of the study Nigeria is a nation that has been blessed with mineral resources ranging from solid minerals to crude oil deposits; right from the northern part of Nigeria…
Read More[ad_1] 1.1BriefReviewonMathieuequation Mathieu equation isa specialcase of a linear second order homogeneousdifferentialequation(Ruby1995).Theequationwasfirstdiscussedin1868,byEmileLeonardMathieuinconnectionwithproblemofvibrationsinellipticalmembrane.HedevelopedtheleadingtermsoftheseriessolutionknownasMathieufunctionoftheellipticalmembranes.Adecadelater,HeinedefinedtheperiodicMathieuAngularFunctionsofintegerorderasFouriercosineandsineseries;furthermore,withoutevaluatingthecorrespondingcoefficient,Heobtainedatranscendentalequationforcharacteristicnumbersexpressedintermsofinfinitecontinuedfractions;andalsoshowedthatonesetofperiodicfunctionsofintegerordercouldbeinaseriesofBesselfunction(Chaos-CadorandLey-Koo2002).Intheearly1880’s,FloquetwentfurthertopublishatheoryandthusasolutiontotheMathieudifferentialequation;hisworkwasnamedafterhimas,‘Floquet’sTheorem’or‘Floquet’sSolution’.StephensonusedanapproximateMathieuequation,andproved,thatitispossibletostabilizetheupperpositionofarigidpendulumbyvibratingitspivotpointverticallyataspecifichighfrequency.(StépánandInsperger2003).Thereexistsanextensiveliteratureontheseequations;andinparticular,awell-highexhaustivecompendiumwasgivenbyMc-Lachlan(1947).TheMathieufunctionwasfurtherinvestigatedbynumberofresearcherswhofoundaconsiderableamountofmathematicalresultsthatwerecollectedmorethan60yearsagobyMc-Lachlan(Gutiérrez-Vegaaetal2002).Whittakerandotherscientistderivedin1900sderivedthehigher-ordertermsoftheMathieudifferentialequation.AvarietyoftheequationexistintextbookwrittenbyAbramowitzandStegun(1964).Mathieudifferentialequationoccursintwomaincategoriesofphysicalproblems.First,applicationsinvolvingellipticalgeometriessuchas,analysisofvibratingmodes2inellipticmembrane,thepropagatingmodesofellipticpipesandtheoscillationsofwaterinalakeofellipticshape.Mathieuequationarisesafterseparatingthewaveequation using ellipticcoordinates.Secondly,problemsinvolving periodicmotionexamplesare,thetrajectoryofan electron in aperiodicarrayofatoms,themechanicsofthequantumpendulumandtheoscillationoffloatingvessels.ThecanonicalformfortheMathieudifferentialequationisgivenby+ y =0, (1.1)dy 2dx2 [a-2qcos(2x)](x)whereaandqarerealconstantsknownasthecharacteristicvalueandparameterrespectively.Closely related to the Mathieu differentialequation is the Modified Mathieudifferentialequationgivenby:- y =0, (1.2)dy…
Read More[ad_1] TABLE OF CONTENTS Title page Declaration Certification Dedication Acknowledgement Table of Contents Abstracts CHAPTER ONE: INTRODUCTION 1.0 Introduction 1.1 Historical Background of the Study 1.2 Aims of the Study 1.3 Objectives of the Study…
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