Browsing Department of Mathematics by Title

EMU I-REP

Browsing Department of Mathematics by Title

Sort by: Order: Results:

  • 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 ...
  • On modeling with multiplicative differential equations 
    Tandoğdu, Yücel; Bashirov, Agamirza; Mısırlı, Emine; Özyapıcı, Ali (SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities, 2011)
    This work is aimed to show that various problems from different fields can be modeled more efficiently using multiplicative calculus, in place of Newtonian calculus. Since multiplicative calculus is still in its infancy, ...
  • On path dependent loss and switch crosstalk reduction in optical networks 
    Bashirov, Rza; Karanfiller, Tolgay (Elsevier, 2010)
    Although optical multistage interconnection networks (OMINs) promise to meet the ever growing demands of communication networks and multiprocessor systems in fast communication, they suffer from challenges such as path ...
  • On path dependent loss and switch crosstalk reduction in optical networks 
    Bashirov, Rza (Information Sciences, Elsevier, 2010)
    Although optical multistage interconnection networks (OMINs) promise to meet the ever growing demands of communication networks and multiprocessor systems in fast communication, they suffer from challenges such as path ...
  • On q-Analogue and (p,q)–Analogue of Gamma and Beta Functions 
    Al-Khateeb, Areen Saber (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2017-01)
    ABSTRACT: In this study we discuss the integral representation of the q-analogue of two special functions, q-GF (gamma function) and q-BF (beta function). This discussion gives a very attractive q-constant.Also, we get the ...
  • On the preconditioning conjugate gradient method for the solution of 9-point elliptic difference equations 
    Mazhar, Zeka; Daoud, D.S; Subaşı, Deniz (Elsevier B.V, 1994)
    The Preconditioned Conjugate Gradient (PCG) method is implemented to solve the system with 9 diagonal entries generated from a 9-point finite difference approximation of the self-adjoint elliptic partial differential ...
  • On the ω-Multiple Charlier Polynomials 
    Baran, Gizem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2021-09)
    ABSTRACT: Appell polynomials are certain family having wide range of application areas from numerical analysis to analytic function theory. They were defined by Paul Emile Appell in 1880. The most famous Appell polynomials ...
  • Partial Approximate Controllability of Semilinear Control Systems 
    Ghahramanlou, Noushin Houshyar (Eastern Mediterranean University EMU, 2015-09)
    Most of the controllability concepts are for first ordered differential equations, while not all the control systems are of this kind; but by increasing the dimension of the state space, one can rewrite the control system ...