Browsing Department of Mathematics by Title

EMU I-REP

Browsing Department of Mathematics by Title

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  • Asymptotic Behavior of Solutions to Nonlinear Neutral Differential Equations 
    Hasanbulli, Mustafa (Eastern Mediterranean University (EMU), 2010)
    In Chapter 2 of this thesis, in the first part, we deal with asymptotic behavior of nonoscillatory solutions to higher order nonlinear neutral differential equations of the form (x (t) + p (t) x (t − τ ))(n) + f (t, x (t) ...
  • 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 ...
  • Block method for problems on L-shaped domains 
    Dosiyev, A.A; Mazhar, Zeka; Buranay, S.C (Elsevier, 2010)
    An extremely accurate, exponentially convergent solution is presented for both symmetric and non-symmetric Laplacian problems on L-shaped domains by using one-block version of the block method (BM). A simple and highly ...
  • Boundary Value Problems Arising in Kalman Filtering 
    Bashirov, Agamirza; Mazhar, Zeka; Ertürk, Sinem (Springer International Publishing, 2008)
    The classic Kalman filtering equations for independent and correlated white noises are ordinary differential equations (deterministic or stochastic) with the respective initial conditions. Changing the noise processes by ...
  • Boundary Value Problems Arising in Kalman Filtering 
    Bashirov, Agamirza; Mazhar, Zeka; Ertürk, Sinem (Hindawi Publishing Corporation, 2009-01-01)
  • 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 ...
  • Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators 
    Özarslan, Mehmet Ali; Vedi, Tuba (Springer International Publishing AG, 2015)
    In this paper, we introduce Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators on the unbounded domain. We should note that this generalization includes various kinds of operators which have not been introduced ...
  • Chlodowsky variant of q-Bernstein-Schurer-Stancu operators 
    Özarslan, Mehmet Ali; Vedi, Tuba (Springer International Publishing, 2014)
    It was Chlodowsky who considered non-trivial Bernstein operators, which help to approximate bounded continuous functions on the unbounded domain. In this paper, we introduce the Chlodowsky variant of q-Bernstein-Schurer-Stancu ...
  • 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 ...
  • Colliding Wave Solutions in a Symmetric Non-Metric Theory 
    Gürtuğ, Özay; Halilsoy, Mustafa (Springer US, 2009)
    A method is given to generate the non-linear interaction (collision) of linearly polarized gravity coupled torsion waves in a non-metric theory. Explicit examples are given in which strong mutual focussing of gravitational ...
  • 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 ...