Now showing items 1-16 of 16

    • A model proposal for the chaotic structure of Istanbul stock exchange 

      İşeri, Müge; Çağlar, Hikmet; Çağlar, Nazan (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2008-06)
      Chaos theory is considered a novel way of understanding the behaviour of nonlinear dynamic systems. It is well known that the evaluation of chaotic systems is dependent on initial conditions since exponential growth error ...
    • B-spline Interpolation Compared with Finite Difference, Finite Element and Finite Volume Methods Which Applied to Two-Point Boundary Value Problems 

      Çağlar, Hikmet; Çağlar, Nazan; Elfaituri, Khaled (ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2006-04-01)
      This paper considers the B-spline interpolation and compares this method with finite difference, finite element and finite volume methods which applied to the two-point boundary value problem. -d/dx(p(x)du/dx) = f(x), ...
    • B-spline Method For Solving Linear System Of Second-Order Boundary Value Problems 

      Çağlar, Nazan; Çağlar, Hikmet (Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2009-03)
      The B-spline method is used for the numerical solution of a linear system of second-order boundary value problems. Two examples are considered for the numerical illustration and the method is also compared with the method ...
    • B-Spline Solution For A Singularly Perturbed Convection-Dominated Diffusion Equation 

      Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2009-04)
      In this study, B-spline method is applied to the convection-dominated diffusion problems. The numerical solution of the equations are discussed and illustrated with an example. Computational results are provided to demonstrate ...
    • B-spline Solution Of Non-linear Singular Boundary Value Problems Arising In Physiology 

      Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet (Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2009-02-15)
      We use B-spline functions to develop a numerical method for computing approximations to the solution of non-linear singular boundary value problems associated with physiology science. The original differential equation is ...
    • B-spline solution of singular boundary value problems 

      Çağlar, Nazan; Çağlar, Hikmet (ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2006-11-15)
      Homogeneous and non-homogenous singular boundary value problems (special case) are solved using B-splines. The original differential equation is modified at singular point then the boundary value problem is treated by using ...
    • B-Spline Solution Of The Black-Scholes Partial Differential Equation 

      Çağlar, Nazan; İşeri, Müge; Çağlar, Hikmet; Özer, Mehmet (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2010-07)
      The numerical solutions of several mathematical models In the financial economics arc arising. Most of the models are based on the Black-Scholes partial differential equations. In this paper, the Black-Scholes option pricing ...
    • Dynamics of the solution of Bratu's equation 

      Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; Valaristos, Antonios; Miliou, Amalia N.; Anagnostopoulos, Antonios N. (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2009-12-15)
      In the present report we examine the dynamics exhibited by the solution of Bratu's equation. It represents a one-dimensional map with control parameter theta. For certain values of the parameter theta it exhibits successive ...
    • Fifth-degree B-spline solution for a fourth-order parabolic partial differential equations 

      Çağlar, Hikmet; Çağlar, Nazan (ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2008-07-15)
      In this paper, we find the numerical solution of a fourth-order parabolic partial differential equation. A family of B-spline methods has been considered for the numerical solution of the problems. The results show that ...
    • FT-IR, EDXRF analysis of the Mardin-Mazidag phosphate deposit of Turkey and relations between phosphate, uranium and fluorine 

      Akyüz, Sevim; Akyüz, Tanıl; Çağlar, Hikmet; Çağlar, Nazan (ASIAN JOURNAL OF CHEMISTRY, 11/100 RAJENDRA NAGAR, SECTOR 3,, SAHIBABAD 201 005, GHAZIABAD, INDIA, 2008-06)
      EDXRF and FT-IR spectral analyses of the composite sample of Mardin-Mazidag phosphate deposit, in which the main phosphate mineral has been known to be collophane and dahllite, were reported. Uranium, phosphate and fluorine ...
    • Non-Polynomial Spline Method Of A Non-Linear System Of Second-Order Boundary Value Problems 

      Çağlar, Hikmet; Çağlar, Nazan; Akkoyunlu, Canan (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2010-04)
      The non-polynomial spline method is proposed to solve a non-linear system of the second-order boundary value problems (BVPs). Some numerical results are given to demostrate the validity and applicability of the presented ...
    • Numerical solution of integral equations by using local polynomial regression 

      Çağlar, Nazan; Çağlar, Hikmet (EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 2008-04)
      In this paper, we find numerical solution of x(t) + lambda integral(b)(a)k(t,s)x(s)ds = y(t) a <= t <= b or x(t) + lambda integral(b)(a) k(t,s)x(s)ds = y(t) a <= t <= b, a <= s <= b by Local Polynomial ...
    • Solution of fifth order boundary value problems by using local polynomial regression 

      Çağlar, Hikmet; Çağlar, Nazan (ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2007-03-15)
      In this paper, we present a novel method based on the local polynomial regression for solving of fifth order boundary value problems. The method is tested on numerical example to demonstrate its usefulness. The method ...
    • The numerical solution of partial differential equations with local polynomial regression(LPR) 

      Çağlar, Hikmet; Çağlar, Nazan; Çağal, Behiç (EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 2009-10)
      In this paper, we extended the LPR method to solve the partial differential equations. Numerical experiments are presented to demonstrate the utility and the efficiency of the proposed computational procedure.
    • The numerical solution of the one-dimensional heat equation by using third degree B-spline functions 

      Çağlar, Hikmet; Özer, Mehmet; Çağlar, Nazan (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2008-11)
      In this paper, the boundary value problem for the one-dimensional heat equation with a nonlocal initial condition is examined by using the third degree B-splines functions. The numerical solution of the equations are ...
    • The principal component analysis of continuous sample curves with higher-order B-spline functions 

      Çağlar, Hikmet; Çağlar, Nazan (EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 2006-06)
      This article concerns the Principal Component Analysis (PCA) of a vector process with higher-order B-spline functions. The approximated PCA of this well-known process is compared with the classical PCA of the different ...