2009, Vol 10, No 1: Güncel gönderi

  • A simple discrete model for the growth tumor 
    Barrea, Andrés; Turner, Cristina (Selcuk University Research Center of Applied Mathematics, 2009)
    In this work we propose a discrete model for the growth tumor. This model is based on the continuous model in [1] which uses the conventional ideas of nutrient diffusion and consumption by the cells. We assume that region ...
  • Konno-Yamazaki portfolio optimization model and an application to Istanbul Stock Exchange 
    Genç, Aşır; Çelik, Nuri (Selcuk University Research Center of Applied Mathematics, 2009)
    The portfolio selection problem deals with how to form a satisfying portfolio. It is difficult to decide which assets should be selected because of the uncertainty on their returns. On the other hand, the increased volatility ...
  • A comparative study of black-scholes equation 
    Polat, Refet (Selcuk University Research Center of Applied Mathematics, 2009)
    In this paper, we analyzed Options and Black Scholes Models for the valuing and pricing of commodities. In particular, we examined the numerical solution techniques of American Option Problems. For the comparison of the ...
  • Computing the tenacity of some graphs 
    Aytaç, Vecdi (Selcuk University Research Center of Applied Mathematics, 2009)
    In communication networks, vulnerability indicates the resistance of a network to disruptions in communication after a breakdown of some processors or communication links. We may use graphs to model networks, as graph ...
  • An application of exp-function method to the generalized Burger’s- Huxley equation 
    Alipour, M. M.; Ganji, D. D.; Davodi, A. G. (Selcuk University Research Center of Applied Mathematics, 2009)
    In this work, we implement a relatively new analytical technique, the ExpFunction method, for solving nonlinear equations and absolutely special form of Generalized BurgersHuxley equation which may contain high nonlinear ...
  • On some reform initiatives on statistics education throughout the world 
    Yıldız, Doğan; Evren, Atıf (Selcuk University Research Center of Applied Mathematics, 2009)
    The discussions on the development of statistics education were intensified especially at the end of nineties in United States of America. In this respect, some means were taken into consideration to develop statistics ...
  • On the product of the ultra-hyperbolic bessel operator related to the elastic waves 
    Sağlam, Aziz; Yıldırım, Hüseyin; Sarıkaya, Mehmet Zeki (Selcuk University Research Center of Applied Mathematics, 2009)
    In this article, we study the solution of the equation ?_{B,c?}^{k}?_{B,c?}^{k}u(x)=? where u(x) is an unknown generalized function and ? is a Dirac-delta function, ?_{B,c?}^{k} and ?_{B,c?}^{k} are the Ultra-Hyperbolic ...
  • Edgeworth series approximation for gamma type chance constraints 
    Yılmaz, Mehmet (Selcuk University Research Center of Applied Mathematics, 2009)
    We introduce two expansions for approximation to distribution of sum of weighted Gamma variates based on Central Limit Theorem. For more than two weighted components, the exact distribution is more complicate for some ...
  • Solving NLP problems with dynamic system approach based on smoothed penalty function 
    Özdemir, Necati; Evirgen, Fırat (Selcuk University Research Center of Applied Mathematics, 2009)
    In this work, a dynamical system approach for solving nonlinear programming (NLP) problem based on a smoothed penalty function is investigated. The proposed approach shows that an equilibrium point of the dynamic system ...
  • Homotopy analysis solution of three dimensional diffusion equations 
    Domairry, G.; Ghanbarpour, M.; Ghanbarpour, F. (Selcuk University Research Center of Applied Mathematics, 2009)
    In this paper, the Homotopy Analysis Method (HAM) is employed to find a suitable solution for parabolic equations. This method is a strong and easytouse analytic tool for investigating linear and nonlinear problems, which ...
  • The justification of the Fourier method for the equations of vibration with impulsive conditions 
    Faydaoğlu, Şerife (Selcuk University Research Center of Applied Mathematics, 2009)
    This study examines an eigenvalue problem which arises when the Fourier method is applied to a vibration equation. Obtained results are used for constructing a solution of the vibration equation.
  • A method on the general solution of inhomogeneous Euler differential equations 
    Karpuz, Başak; Yıldırım, Hüseyin (Selcuk University Research Center of Applied Mathematics, 2009)
    In this article, an n-th order Euler differential equation will be written as differential of multiplication of an n -th order Euler differential equation and a function by multiplying the equation with a suitable integration ...
  • Existence and uniquness theorems for a certain class of non linear singular integral equations 
    Musayev, Binali; Düz, Murat (Selcuk University Research Center of Applied Mathematics, 2009)