Browsing Department of Mathematics by Title

EMU I-REP

Browsing Department of Mathematics by Title

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  • 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 ...
  • On A Comparative Study of Direct Solution Methods of the Discrete Poisson’s Equation on A Rectangle 
    Adekanmbi, Damilola Victoria (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)
    The solution of systems of algebraic equations arising from the 5-point discretization of Poisson’s equation on a rectangle with Dirichlet boundary conditions is analyzed by direct solution methods. Special emphasis is ...
  • On an Alternative View to Complex Calculus 
    Sigaroodi, Sajedeh Norozpour (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    A review of complex calculus in use today, shows that new techniques to solve multivalued nature of logarithmic functions that cause lots of difficulties to work on this subject. One such techniques is re-orientation of ...
  • On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials 
    Özarslan, Mehmet Ali (Elsevier, 2014)
    In this paper, we introduce the class of polynomials Zn1,…,nj(α)(x1,…,xj;ρ1,…,ρj) suggested by the multivariate Laguerre polynomials. We give Schläfli’s contour integral representation and calculate the fractional order ...
  • On asymptotical behavior of solution of Riccati equation arising in linear filtering with shifted noises 
    Bashirov, Agamirza E.; Mazhar, Zeka (Springer, 2007)
    In this paper we consider a linear signal system together with the two linear observation systems. The observation systems differ from each other by the noise processes. The noise of one of them is a constant shift in time ...
  • On asymptotical behavior of solution of Riccati equation arising in linear filtering with shifted noises 
    Mazhar, Zeka; Bashirov, Agamirza E. (Springer Netherlands, 2007)
    In this paper we consider a linear signal system together with the two linear observation systems. The observation systems differ from each other by the noise processes. The noise of one of them is a constant shift in time ...
  • On Caputo Type Sequential Fractional Differential Equations 
    Hussein, Hemn Pirot (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2017-01)
    The goal of this thesis is to give basic information about fractional calculus, and fractional differential equations of different types and study the existence and uniqueness of certain type of fractional differential ...
  • On continued fractions 
    Belaghi, Mahmoud Jafari (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2013-01)
    In this thesis we concern two problems related to continued fractions. Euler's differential method: we apply Euler's differential method, which was not used by mathematicians for a long time, to derive a new formula for ...
  • On Fractional Differential Equations 
    Khaleel, Hogir Ageed (Eastern Mediterranean University EMU, 2015-09)
    In this thesis, we collect some results on sufficient conditions for the existence and unique of solutions for various classes of initial and boundary value problem for fractional differential equations involving the Caputo ...
  • On Impulsive Sequential Fractional Differential Equations (ISFDE’s) 
    Ghadaireh, Bilal Sami Mohammad (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    In this thesis, we study the existence and uniqueness of a nonlinear impulsive sequential fractional differential equations of order 1,2 involving Liouville-Caputo fractional derivative supplemented with the separate ...