ABSTRACT The sudy of a language is very important for the cryptanalysis of substitution and/ or permutation ciphers. In that type of ciphers one letter is substituted by another one, or its order is changed with the order of another letter also from the text. In either case the ―personality‖of the alphabets remains intact, hidden inside a different vest, but intact anyway. If it is true that the morden block ciphers hide those characteristics, given the fact that they operate at bit leve...
ABSTRACT This study is about Overview solutions of nonlinear differential equations and its applications. It consists of four chapters where by the first chapter is devoted on the general overview solutions of differential equations. The second chapter deals with numerical solutions of differential equations. It provides the numerical values of the differential equations with initial conditions or boundary conditions within the given range or interval. The third chapter is about the fixed po...
ABSTRACT This dissertation contains materials on numerical solutions based on elliptic differential equations only appropriate for senior level undergraduate or beginning level graduate students. The reader based on this dissertation should have had introductory courses in Calculus, linear algebra and general numerical analysis. A formal course in ordinary or partial differential equations would be useful. In our study, it should be understood that, there are many procedures that come under ...
ABSTRACT In this thesis we shall be dealing with some basic known approximated solution of model problems involving Navier-stoke equations for incompressible fluid as well as linear elasticity theory.these include well known poiseuilleflow, Couette flow, flow between concentric cylinders, boundary layer flow over impulsively stated plate,simply supported beam with uniform distributed load, cantilevered beam with uniformly distributed load,linear membrane problems, where also an integro-diffe...
ABSTRACT This dissertation provides general review of Partial Differential Equations. The Finite Difference Method which uses Taylor’s Theorem for solving Partial Differential Equations and Solution of elliptic partial differential equations, it also introduces the concepts of convergence, consistency and stability of finite difference scheme, Finite Difference Method (FDM) involving direct method and Iterative method like Gauss Seidel or Gauss Seidel with Successive Over Relaxation are ap...
ABSTRACT The study of an inverse problem for elliptic partial differential equations has been put in place in order to provide a broad understanding to the existence of inverse problems for elliptic partial differential equations particularly Poisson’s equation. The main obective is to describe different approaches to inverse problems for elliptic partial differential equations and in particular, the factorization method. Another aim of this work is to study a certain inverse problem for a...
Abstract: The present paper deals with thermal radiation eects on the transient hydro-magnetic natural convection ow past a vertical plate embedded in a porous medium with mass diusion and uctuating temperature about time at the plate, by taking account the heat due to viscous dissipation in the presence of chemical reaction. The governing equations are solved numerically by Ritz nite element method. The eects of various parameters entered into the equations of momentum, energy and concen...
ABSTRACT The purpose of this dissertation is to survey Analytic Hierarchy Process (AHP) as the tool used in decision making. The decision making process involves evaluating alternatives or criterion by selecting the best option. The AHP is the decision making technique which involves both subjective human judgments and objective evaluation merely by Eigen vector and then examines the consistency of the evaluation by Eigen Value. In this dissertation we have shown in details methods of AHP and...
ABSTRACT Over the previous years finite element method (FEM) has become a powerfully tool to approximate solution of differential equations and prove their existence. The purpose of this research is to introduce and describe a number of the finite element method (FEM) technique applied to problems for partial differential equations (PDEs) with special attentions to the hyperbolic problems in case of wave and damped wave equations. Another aim is to study the one boundary value problem (BVP) ...
ABSTRACT Partial Differential Equations (PDEs) of parabolic type arise naturally in the modeling of many phenomenon of in various fields of physics, engineering and economics. The main aim of this research is to study finite difference methods with numerical solutions of this class of equations. Both one and two dimensions have discussed in this research. I have investigated stability and convergence analysis of different schemes and obtained convergence error estimates. It is important to n...
ABSTRACT We obtain new exact solutions to the Einstein field equations for anisotropic neutral stellar objects. In our dissertation, we are considering a quadratic equation of state and a choice of measure of anisotropy and metric function adopted from Sunzu’s work. We transform the Einstein field equations for neutral anisotropic matter by adopting the Durgapal and Bannerji’s new variables. We generate the exact solution and hence obtain the gravitational potentials and matter variables...
ABSTRACT This dissertation is a study of finite difference numerical methods that are based on the principle of discretization. In chapter one we present the general overview of partial differential equations, Initial boundary value problems and derivations of Finite difference methods for one dimensional heat equation. A brief discussion of the truncation error is also presented. The second chapter is concerned with consistency, stability and convergence of the finite difference schemes for...
ABSTRACT A number of phenomena in modern science can be conveniently described in terms of problems for parabolic equations with Bessel operator and nonlocal conditions. The purpose of this study is to give a survey of classical and nonclassical problems for parabolic differential equations with Bessel operator, give introduction to several different research approaches and show how the choice of a method depends on the nature of the problem. Another aim is to study the solution to the proble...
ABSTRACT Multiple choice examinations are commonly used to assess student learning. However, instructors often find it challenging to write good items that ask students to do more than memorize facts and details. Multiple choice test items are generally more complex and time-consuming to create than other types of tests. It requires a certain amount of skill. However, this skill may be increases through study, practice and experience. This dissertation discusses a number of issues related to...
ABSTRACT This study aimed at investigating the contribution of teaching aids (counting objects) in numeracy skills performance for standard two pupils. The main objective of this study was to introduce an effective intervention for enhancing pupils‟ achievement levels in numeracy. The study revealed that there is a low numeracy skill which is caused by many reasons such as unsuitable teaching and learning environment, few teaching methods, negative attitude of pupils and parents towards nu...