Browsing Department of Mathematics by Title

EMU I-REP

Browsing Department of Mathematics by Title

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  • Markov Chains and Markov Processes 
    Ogunbayo, Segun (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-02)
    Markov chain, which was named after Andrew Markov is a mathematical system that transfers a state to another state. Many real world systems contain uncertainty. This study helps us to understand the basic idea of a Markov ...
  • Martingale Theory 
    Victor, Oluwafemi Oludu (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-09)
    From ages to ages there had been expectation of individuals on a specific predictions and future occurrences. So also in a game, different participant that involves in those specified game have their various expectations ...
  • Mathematical and Computational Models of Cell Cycle in Higher Eukaryotes 
    Krivdic, Alma (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-09)
    The cell cycle is an ordered sequence of coordinated biological processes that enable cells to grow and divide, to check for certain abnormalities whenever it is appropriate, to regulate the different stages of growth and ...
  • Matrix Summability Methods 
    Dağbaşı, Gizem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020-01)
    The purpose of this study is to prepare a brief summary of some matrix summability methods. This thesis consists of four chapters. In the first chapter, a general introduction to the matrix summability method is mentioned. In ...
  • The moments for q-Bernstein operators in the case 0 < q < 1 
    Mahmudov, Nazim I. (Springer US, 2010)
    In this note we give the estimates of the central moments for q-Bernstein operators (0 < q < 1) which can be used for studying the approximation properties of the operators.
  • Multiplicative Runge-Kutta Methods 
    Aktöre, Hatice (Eastern Mediterranean University (EMU), 2011)
    ABSTRACT: In this thesis the multiplicative Runge-Kutta Method is developed employing the idea of the ordinary Runge-Kutta Method to multiplicative calculus. The multiplicative Runge-Kutta Methods for the orders 2,3, and ...
  • Multipoint Nonlocal Problem for Ordinary Differential Equations 
    Faris, Fahmi Sharif (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-06)
    Boundary value problems with nonlocal boundary conditions have been considered in numerous investigations.In this thesis different approaches are analyzed by considering nonlocal boundary conditions of the solution of ...
  • New families of generating functions for certain class of three-variable polynomials 
    Özarslan, Mehmet Ali; Kaanoğlu, Cem (Elsevier ınc, 2011)
    Recently, Srivastava, Özarslan and Kaanoglu have introduced certain families of three and two variable polynomials, which include Lagrange and Lagrange-Hermite polynomials, and obtained families of two-sided linear generating ...
  • A New Kantorovich Type q-analogue of the Balazs-Szabados Operators 
    Hamal, Hayatem Faraj (Doğu Akdeniz Üniversitesi, 2021-01)
    This thesis consists of four chapters. In the first chapter, the introduction is offered. In the second chapter, we give the definitions, concepts and important theorems related with linear positive operators. We mention ...
  • New Korovkin Type Theorem for Non-Tensor Meyer–König and Zeller Operators 
    Özarslan, Mehmet Ali (Springer International Publishing, 2016)
    In this paper, we introduce a certain class of linear positive operators via a generating function, which includes the non-tensor MKZ operators and their non-trivial extension. In investigating the approximation properties, ...
  • New Singular and Nonsingular Colliding Wave Solutions in Einstein-Maxwell-Scalar Theory 
    Gürtuğ, Özay; Halilsoy, Mustafa; Sakallı, İzzet (Kluwer Academic Publishers-Plenum Publishers, 2003)
    A technique is given to generate coupled scalar field solutions in colliding Einstein-Maxwell (EM) waves. By employing the Bell-Szekeres solution as seed and depending on the chosen scalar field, it is possible to construct ...
  • Nonlinear Sequential and Non Sequential Fractional Differential Equations with Integral Boundary Conditions 
    Awadalla, Muath Moh'd Idris (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    This thesis relies on various fractional differential equations. Based on the classical fixed point theorem summarized by what known as the Banach contraction mapping theorem, nonlinear alternative of Leray-Schauder type ...
  • Novel Approaches for Relation Extraction in Biomedical Domain 
    Onye, Stanley Chika (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    Relation extraction an important field in Biomedical Natural Language Processing is the study of identifying relations between entity mentions. The extraction of relation instances over multiple sentence mention levels ...
  • A Novel Fully Implicit Block Coupled Solution Strategy For The Ultimate Treatment of The Velocity–Pressure Coupling Problem in İncompressible Fluid Flow 
    Mazhar, Zeka (Taylor & Francis (Routledge), 2016-01-21)
    Two new extremely robust, fully implicit coupled solution procedures (FICS-1 and FICS-2) are presented for the ultimate solution of the notorious velocity–pressure coupling problem arising in incompressible fluid flow ...
  • Numerical Approximation Methods using Multiplicative Calculus 
    Aktöre, Hatice (Eastern Mediterranean University EMU, 2015-09)
    In this thesis, the 2nd, 3rd and 4th order multiplicative Runge-Kutta Methods are developed in analogy to the classical Runge-Kutta Method. The error analysis is only carried out for the 4th order multiplicative Runge-Kutta ...
  • Numerical Methods for Solving Systems of Ordinary Differential Equations 
    Hürol, Simruy (Eastern Mediterranean University (EMU), 2013)
    ABSTRACT: This thesis concantrates on numerical methods for solving ordinary differential equations. Firstly, we discuss the concept of convergence, local-truncation error, globaltruncation error, consistency, types of ...
  • Numerical Solution of Diffusion Equation in One Dimension 
    Zangana, Zana Salahaldeen Rashid (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-07)
    ABSTRACT: In this thesis we studied the numerical techniques for the solution of one dimensional diffusion equations. The discrete approximation of the model problem is based on different finite difference schemes. These ...
  • Numerical Solutions of Fractional Differential Equations 
    Avcı, İbrahim (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020)
    In this thesis, we focus on numerical solutions of general linear multi-term fractional differential equations (FDEs) with fractional derivatives defined in the Caputo sense. Multi-term fractional order differential ...
  • Numerical Solutions of Fractional Differential Equations 
    Avcı, İbrahim (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-09)
    Fractional analysis has almost the same history as classical calculus. Fractional analysis did not attract enough attention for a long time. However, in recent decades, fractional analysis and fractional differential ...
  • On a class of generalized q-Bernoulli and q-Euler polynomials 
    Mahmudov, Nazim I.; Keleshteri, M Eini (Springer International Publishing AG, 2013)
    The main purpose of this paper is to introduce and investigate a new class of generalized q-Bernoulli and q-Euler polynomials. The q-analogues of well-known formulas are derived. A generalization of the Srivastava-Pintér ...