Browsing Theses (Master's and Ph.D) – Mathematics by Title

EMU I-REP

Browsing Theses (Master's and Ph.D) – Mathematics by Title

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  • Basic Iterative Methods for Solving Elliptic Partial Differential Equation 
    Qahraman, Yousif Ahmed (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-07)
    ABSTRACT: In this thesis, we studied the numerical techniques for the solution of two dimensional Elliptic partial differential equations such as Laplace's and Poisson's equations. These types of differential equations ...
  • Bayesian Probability Estimation for Reasoning Process 
    Salehi, Sara (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-05)
    ABSTRACT: It is a comprehensible fact that people always desire to be able to remove or at least to decrease the level of uncertainty in real world application. In all the areas of science and technology, it is important ...
  • Bernoulli and euler polynomials 
    Çatma, Güneş (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2013-07)
    ABSTRACT: This thesis provides an overview of Bernoulli and Euler numbers. It describes the Bernoulli and Euler polynomials and investigates the relationship between the classes of the two polynomials. It also discusses ...
  • Bernstein-Type Operators 
    Ali, Kawa Sardar Mohammad (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)
    In this work we are interested in the approximation of some type of operators called Bernstein-type. For this purpose, the operator  ,  0,  n L f x f C  called the Bernstein-type approximation operator is considered. ...
  • Bigeometric Taylor Theorem and its Application to the Numerical Solution of Bigeometric Differential Equations 
    Eminağa, Buğçe (Eastern Mediterranean University EMU, 2015-09)
    Many studies in the field of Bigeometric Calculus are based on an approximation to the Bigeometric Taylor series, as the correct version is not known. The Bigeometric Taylor Series introduced in this research, is derived ...
  • The Binary Mathematical Morphology on the Triangular Grid 
    Nouralddeen, Mohsen Mohamed Ibrahim Abdalla (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    Mathematical morphology is a part of digital image processing which has strong mathematical foundation and also has several applications. In digital image processing images are understood on (usually, a finite segment ...
  • The Block-Hexagonal Grid Method for Laplace’s Equation with Singularities 
    Çeliker, Emine (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-12)
    A fourth order accurate matching operator is constructed on a hexagonal grid, for the interpolation of the mixed boundary value problem of Laplace’s equation, by using the harmonic properties of the solution. With the ...
  • Cellular Automata in the Triangular Grid 
    Saadat, MohammadReza (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-02)
    Cellular automata are parallel computing devices working on a discrete timescale. Each cell of a regular grid has a finite number of states and the state in the next time instant depends only on the actual state of the ...
  • Classical Orthogonal Polynomials and Differential Operators 
    Onbaşı, İlkay (Eastern Mediterranean University EMU - Doğu Akdeniz Üniversitesi (DAÜ), 2017-01)
    In this thesis we introduce the concept of classical orthogonal polynomials which are Hermite, Laguerre and Jacobi polynomials. We first provide the necessary overview on special functions. Then we give several properties ...
  • Combinatorial Optimization: Solution Methods of Traveling Salesman Problem 
    Demez, Hülya (Eastern Mediterranean University (EMU), 2013)
    ABSTRACT: Traveling Salesman Problem has been one of the most interesting and challenging problem in the literature. It is include a large area in combinatorial optimization problem. A variety of Exact and Heuristic ...
  • Compact Finite Difference Scheme for One Dimensional Parabolic Inverse Problem 
    Onwuegbuna, Vincent Chukwuebuka (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2021-02)
    Inverse Problems is a research area dealing with inversion of models or data. An inverse problem is a mathematical model that is used to obtain information about a physical object or system from observed measurements. ...
  • A Comprehensive Study on the Class of q-Appell Polynomials 
    Keleshteri, Marzieh Eini (Eastern Mediterranean University EMU, 2015-07)
    This thesis is aimed to study the q-analogue of the class of so called Appell polynomials from different aspects and using various algebraic as well as analytic approaches. To achieve this aim, not only many new results ...
  • Computational Numerical Solution Algorithm for Fractional Differential Equations 
    Bawa’neh, Sameer Hassan Saleeh (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019-06)
    This study focused on three main problems, firstly, a study on the existence of the solution for a coupled system of fractional differential equations with integral boundary conditions. The solution process for the existence ...
  • Computation and Reasoning with Z-Numbers 
    Mraiziq, Derar Atallah Talal (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-07)
    In most cases the information relevant to the real-world decision is partially reliable. This can be explained by the unreliability of the source of information, misinterpretation, inexperience etc. Z-numbers-based ...
  • Continuous Nowhere Differentiable Functions 
    Ameen, Jaafar Anwar H. (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-05)
    ABSTRACT: In this thesis four interesting points of mathematical analysis are handled. At first, some examples of continuous nowhere differentiable functions are discussed. Secondly, the Lebesgue-Cantor singular function ...
  • Convergent Sequences and Statistical Limit Points 
    Baytunç, Erdem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    In the present thesis, we prepare a summary of the existing theory of statistical, lacunary statistical, 𝜆���-statistical, 𝐴���-statistical limit points and some related topics for sequences of real numbers by using ...
  • Counting Shortest Paths in Grids 
    Khasswneh, Bashar Suhil Jad Allah (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020)
    It is well known that Pascal‟s triangle represents the binomial coefficients in binomial expansion. These numbers can also be interpreted as the numbers of (shortest) paths from the given position to top element of the ...
  • Credit Scoring Problem Based on Regression Analysis 
    Khassawneh, Bashar Suhil Jad Allah (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-07)
    ABSTRACT: This thesis provides an explanatory introduction to the regression models of data mining and contains basic definitions of key terms in the linear, multiple and logistic regression models. Meanwhile, the aim of ...
  • The Cross Entropy Method and Its Applications 
    Hamad, Sarwar (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-09)
    The Cross Entropy (CE) method which was initiated and developed by Reuven Rubinstein has been applied to combinatorial optimization problems with promising results. The CE method is actually a generic approach for solving ...
  • Cryptography by means of linear algebra and number theory 
    Elfadel, Ajaeb (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-02)
    ABSTRACT: This thesis focuses on the techniques of cryptography in linear algebra and number theory. We first give the necessary review on modular arithmetic. Under Linear Algebra, Hill cipher cryptographic technique and ...