Browsing Department of Mathematics by Title

EMU I-REP

Browsing Department of Mathematics by Title

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  • Highly Accurate Implicit Schemes Using Hexagonal Grids for the Approximation of the Derivatives of the Solution of Two Dimensional Heat Equation 
    Matan, Ahmed Hersi Mohamed (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2022-02)
    In this thesis, the first type (Dirichlet) boundary value problem for the heat equation on a rectangle is considered. The research has two main successes. Firstly, we give a two-stage implicit method of second order ...
  • High Order Accurate Approximation of the First and Pure Second Derivatives of the Laplace Equation on a Rectangle and a Rectangular Parallelepiped 
    Sadeghi, Hamid Mir Mohammad (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)
    In thisthesis,wediscusstheapproximationofthefirstandpuresecondorderderiva- tivesforthesolutionoftheDirichletproblemforLaplace’sequationonarectangular domain andinarectangularparallelepiped.Inthecasewhenthedomainisarect ...
  • Identifying targets for gene therapy of β-globin disorders using quantitative modeling approach 
    Bashirov, Rza; Mehraei, Mani (Elsevier, 2017-08)
    Sickle cell disease and β-thalassemia are well-known genetic disorders which are caused by mutations in β-globin gene. Reactivation of fetal hemoglobin in adulthood through induction of γ-globin gene expression has proven ...
  • Implementation of Strategies for Solving Constraint Satisfaction Problems 
    Hasan, Zewar Fadhlulddin (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-07)
    This thesis investigates the different strategies for solving constraint satisfaction problems. The basic properties of constraint satisfaction problems are discussed. The different types of constraints are given. The ...
  • Implementing Petri Nets for Modelling and Simulation in Biosciences 
    Dolma, Fatma (Eastern Mediterranean University (EMU), 2012)
    ABSTRACT: It was in 1993 that Petri nets were introduced for modelling of biochemical reactions. Since that time Petri nets are increasingly used to dive deep into the details of functioning of cumbersome biological ...
  • Important Relations of Classical Orthogonal Polynomials 
    Akacan, Ertan (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020)
    In this thesis, the theory of classical orthogonal polynomials which are Hermite, Laguerre and Jacobi polynomials will be studied. To begin with, we will supply an outline regarding the special functions. Followed by ...
  • Imputing Missing Values Using Support Variables with Application to Barley Grain Yield 
    Erbilen, Mustafa (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019)
    In any data collection process, regardless of the sampling method, missing data values are encountered due to many different reasons. Depending on the amount of missing data the results to be obtained from the analysis of ...
  • Incomplete Pochhammer Ratios and Related Special Functions 
    Ustaoğlu, Ceren (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    This thesis includes five chapters. In the first chapter, general information and some preliminaries that used throughout the thesis are given. In Chapter 2, the incomplete Pochhammer ratios are defined in terms of the ...
  • Integral Type Fractional Gronwall Inequalities 
    Jangeer, Abdullah Hasan (Eastern Mediterranean University EMU, 2015-09)
    The current research involves the ideas and principles about integral inequalities of Gronwall type. It deals with the possibilities that we mathematicians use in order to solve equations in various ways. The first case ...
  • The Interplay between Fractional Calculus and Complex Analysis 
    Bouzouina, Chaima (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2021-09)
    The usual definitions of fractional derivatives and integrals are very well-suited for a fractional generalisation of real analysis. But the basic building blocks of complex analysis are different: although fractional ...
  • Invariants and Bestvina-Brady Groups 
    Emin, Sedef Sultan (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-02)
    ABSTRACT: The aim of this thesis is to compute the Euler Characteristic of the Bestvina-Brady groups. First, the analytical topology, the point-set topology is introduced. Then, the main purpose of the use of algebraic ...
  • Investigation of Basic Concepts of Fuzzy Arithmetic 
    Musa, Isma`il Muhammad (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-02)
    ABSTRACT: Fuzzy arithmetic is an extensively used instrument for dealing with uncertainty in a computationally competent method, recently and much better in the upcoming years. This thesis aims to investigate the basic ...
  • Irreducible Representations of Some Finite Groups 
    Avkan, Aydın (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-08)
    In this thesis we compute the irreducible representations and the characters of some certain finite groups. We first provide the necessary overview on linear algebra, group theory and the representations theory. Then, we ...
  • Kalman Filtering under Wide Band Noises 
    Abuassba, Kanda Jamal (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    Kalman filtering is a powerful estimation method. One of its weaknesses is related to the white or colored nature of the disturbing noises in the Kalman filtering model. At the same time, real noises are rarely white or ...
  • Kantorovich Type q-Bernstein Polynomials 
    Elatrash, Abubaker Banour Masoud (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2017)
    In this thesis first of all some elementary results related with positive linear operators, properties of Bernstein operators, q-integers and some identities related with q-integers and also q-Bernstein operators and their ...
  • Korovkin type approximation theorem for BBH type operators via J-convergence 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (Versıta, 2010)
    This paper provides a Korovkin type approximation theorem for a class of positive linear operators including Bleimann-Butzer and Hahn operators via J-convergence.
  • Korovkin type theorem for non‐tensor Balázs type Bleimann, Butzer and Hahn operators 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (WILEY-BLACKWELL, 2015)
    In this paper, we prove a certain Korovkin type approximation theorem by introducing new test functions. We introduce the non-tensor Balázs type Bleimann, Butzer and Hahn operators and give the approximation property by ...
  • Local approximation properties for certain King type operators 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (UNIV NIS, FAC SCI MATH, 2013)
    In this paper, we consider a certain King type operators which includes general families of Szasz-Mirakjan, Baskakov, Post-Widder and Stancu operators. By introducing two parameter family of Lipschitz type space, which ...
  • Local approximation results for Szász-Mirakjan type operators 
    Özarslan, Mehmet Ali; Duman, Oktay (SP Birkhäuser Verlag Basel, 2008)
    In this study, motivating our earlier work [O. Duman and M.A. Ozarslan, Szasz-Mirakjan type operators providing a better error estimation. Appl. Math. Lett. 20, 1184--1188 (2007)], we investigate the local approximation ...
  • Logical Puzzles 
    Alzboon, Laith Ali Khalaf (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020-06)
    In this thesis, we use commonsense reasoning and graph representation to study two different new types of logical puzzles with three types of people. In the first type of puzzles, any person in the puzzle can be either ...