Now showing items 1-9 of 9

    • A Microsoft Visual Basic software for B spline solution of the one dimensional heat equation 

      Çağlar, Hikmet; Cuhacı, Levent; Çağlar, Nazan; Özer, Mehmet (2009)
    • B-Spline Method For Solving Bratu's Problem 

      Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; Valaristos, Antonios; Anagnostopoulos, Antonios N. (Taylor & Francis Ltd, 4 Park Square, Milton Park, Abingdon Ox14 4Rn, Oxon, England, 2010)
      In this paper, we propose a B-spline method for solving the one-dimensional Bratu's problem. The numerical approximations to the exact solution are computed and then compared with other existing methods. The effectiveness ...
    • 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 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 nonlinear fourth-order problems with separated boundary conditions 

      Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet (IOP PUBLISHING LTD, DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND, 2008)
      In this paper, we discussed a fifth-degree B-spline solution for the numerical solution to nonlinear fourth-order boundary value problems (BVPs) with separated boundary conditions. Two numerical examples are given to ...
    • 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 ...
    • 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 ...