Browsing Theses (Master's and Ph.D) – Mathematics by Author "Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics"

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Browsing Theses (Master's and Ph.D) – Mathematics by Author "Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics"

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  • Accelerated Overrelaxation Method for the Solution of Discrete Laplace’s equation on a Rectangle 
    Hajan, Bewar Sulaiman A. (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016)
    On a rectangle given the Dirichlet Laplace’s equation, for its solution by finite differences there exist numerous direct methods and iterative methods. Examples of direct methods are block decomposition, block elimination, ...
  • Adomian’s Decomposition of Multi-Order Fractional Differential Equations 
    Olayinka, Ojo Gbenga (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016)
    Adomian's Decomposition Method (ADM) was introduced about three decades ago, it has proven to be efficient, reliable and easy to compute the solutions of non-linear and linear differential equations. It can also be used ...
  • Analysis of Properties of Fuzzy Graphs 
    Mohammed, Bafreen Najeb (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2017)
    The purpose of this thesis is to investigate the properties of the combination of graph theory and fuzzy set theory called fuzzy graph. The crisp and fuzzy graphs are compared. The operations on fuzzy relations are performed. ...
  • Approximation Properties of Schurer Type q-Bernstein Operators 
    Vedi, Tuba (Eastern Mediterranean University EMU, 2015-09)
    This thesis consist of five chapters. In the first chapter, the introduction is given. In the second chapter, we consider the Chlodowsky variant of q-Bernstein-Schurer-Stancu operators. We state the Korovkin type ...
  • A-Statistical Convergence 
    Yousuf, Saadia (Eastern Mediterranean University EMU - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)
    The present study is conducted to study a new type convergence, called A-statistical convergence. In the beginning of the study, the concept of infinite, non-negative regular matrices is introduced. Some basic properties ...
  • 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 ...
  • 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 ...
  • 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. ...
  • 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 ...
  • 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 ...
  • Decision Making Under Fuzzy Environment 
    Temizkan, Hasan (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2021-02)
    High competition between universities has been increasing over the years, and stimulates higher education institutions to attain higher positions in the ranking list. Ranking is an important performance indicator of ...
  • Determination of an Unknown Diffusion Coefficient in a Parabolic Inverse Problem 
    Ibrahim, Kabiru Garba (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-07)
    In this thesis we studied the finite difference approximation for the solution of one dimensional parabolic inverse problem of finding the function ( ) and the unknown positive coeffient ( ) . The Backward time centered ...
  • Deterministic and Nondeterministic Sensing 5' - 3' Watson-Crick Automata without Sensing Parameter 
    Parchami, Shaghayegh (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020-04)
    Watson-Crick (abbreviated as WK) finite automata are working on double stranded DNA molecule that is also called Watson-Crick tape. Subsequently, these automata have two reading heads, one for each strand. While in ...
  • Deterministic and Probabilistic Modeling of the Logistic Growth 
    Noupoue, Yves Yannick Yameni (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019)
    The logistic growth concept investigated by many researchers has wide applications in different fields. An exact solution to the logistic growth problem can always be obtained using the first order differential equation. ...
  • Euler Integrals 
    Azeez, Twana Yousif (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-06)
    Euler’s integral are two functions, called Beta and Gamma functions. They play important role in mathematics and its applications. These functions are defined through improper integrals and their properties depend on ...
  • Existence of Solutions of Fractional Differential Equations 
    Unul, Sinem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016)
    This thesis is aimed to study the existence of mild solutions of a class of fractional differential equations with different boundary conditions. By using fixed point theorems, the existence results about mild solutions ...