Browsing by Author "Çağlar, Hikmet"
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A Microsoft Visual Basic software for B spline solution of the one dimensional heat equation
Çağlar, Hikmet; Cuhacı, Levent; Çağlar, Nazan; Özer, Mehmet (2009) 
A model proposal for the chaotic structure of Istanbul stock exchange
İşeri, Müge; Çağlar, Hikmet; Çağlar, Nazan (PERGAMONELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 200806)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 ... 
A Visual Basic Software For Computing of the One Dimensional Heat Equation by Using B Spline Solution
Cuhacı, Levent; Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet (200907)Microsoft Visual Basic® has been used for developing a software for the one dimensional heat equation. We have solved the equation by means of a computer and developed userfriendly software with a graphical user interface. ... 
Bspline interpolation compared with finite difference, finite element and finite volume methods which applied to twopoint boundary value problems
Çağlar, Hikmet; Çağlar, Nazan; Elfaituri, Khaled (ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 100101710 USA, 20060401)This paper considers the Bspline interpolation and compares this method with finite difference, finite element and finite volume methods which applied to the twopoint boundary value problem. d/dx(p(x)du/dx) = f(x), ... 
BSpline 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 Bspline method for solving the onedimensional Bratu's problem. The numerical approximations to the exact solution are computed and then compared with other existing methods. The effectiveness ... 
Bspline Method For Solving Linear System Of SecondOrder Boundary Value Problems
Çağlar, Nazan; Çağlar, Hikmet (PergamonElsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 200903)The Bspline method is used for the numerical solution of a linear system of secondorder boundary value problems. Two examples are considered for the numerical illustration and the method is also compared with the method ... 
BSpline Solution For A Singularly Perturbed ConvectionDominated Diffusion Equation
Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 200904)In this study, Bspline method is applied to the convectiondominated diffusion problems. The numerical solution of the equations are discussed and illustrated with an example. Computational results are provided to demonstrate ... 
Bspline Solution Of Nonlinear Singular Boundary Value Problems Arising In Physiology
Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet (PergamonElsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 20090215)We use Bspline functions to develop a numerical method for computing approximations to the solution of nonlinear singular boundary value problems associated with physiology science. The original differential equation is ... 
Bspline solution of singular boundary value problems
Çağlar, Nazan; Çağlar, Hikmet (ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 100101710 USA, 20061115)Homogeneous and nonhomogenous singular boundary value problems (special case) are solved using Bsplines. The original differential equation is modified at singular point then the boundary value problem is treated by using ... 
BSpline Solution Of The BlackScholes Partial Differential Equation
Çağlar, Nazan; İşeri, Müge; Çağlar, Hikmet; Özer, Mehmet (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 201007)The numerical solutions of several mathematical models In the financial economics arc arising. Most of the models are based on the BlackScholes partial differential equations. In this paper, the BlackScholes option pricing ... 
Compact Finite Differences Method And Caputo Fractional Derivative Definition For Lineer Fractional Schrödingerequations
Er, Neslihan; Çağlar, Hikmet; Çağlar, Nazan (201803)In this paper, linear fractional Schrödinger equation is studied by using compact finite differences method. The fractional part of the equation is worked by applying Caputo fractional derivative definition. In the solution ... 
Dynamics of the solution of Bratu's equation
Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; Valaristos, Antonios; Miliou, Amalia N.; Anagnostopoulos, Antonios N. (PERGAMONELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 20091215)In the present report we examine the dynamics exhibited by the solution of Bratu's equation. It represents a onedimensional map with control parameter theta. For certain values of the parameter theta it exhibits successive ... 
FIBAC 2012 Proceedings Of The Internatıonal Finance, Banking & Insurance Congress
Çağlar, Nazan; Çağlar, Hikmet; Dündar, Durmuş; İşeri, Müge (İstanbul Kültür Üniversitesi Yayınları, 2013) 
Fifthdegree Bspline solution for a fourthorder parabolic partial differential equations
Çağlar, Hikmet; Çağlar, Nazan (ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 100101710 USA, 20080715)In this paper, we find the numerical solution of a fourthorder parabolic partial differential equation. A family of Bspline methods has been considered for the numerical solution of the problems. The results show that ... 
Fifthdegree Bspline solution for nonlinear fourthorder 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 fifthdegree Bspline solution for the numerical solution to nonlinear fourthorder boundary value problems (BVPs) with separated boundary conditions. Two numerical examples are given to ... 
FTIR, EDXRF analysis of the MardinMazidag 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, 200806)EDXRF and FTIR spectral analyses of the composite sample of MardinMazidag phosphate deposit, in which the main phosphate mineral has been known to be collophane and dahllite, were reported. Uranium, phosphate and fluorine ... 
Galerkin Method For Fractional Diffusion Equation
Uçar, Mehmet Fatih; Çağlar, Hikmet (201611)The onedimensional fractional diffusion equation is studied systematically using the Galerkin method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of the method. ... 
Non Polynomial Spline Method for a Singularly Perturbed Convection Dominated Diffusion Equation
Çağlar, Hikmet; Uçar, Fatih; Akkoyunlu, Canan; Yıldırım, Mesut (2010) 
Non Polynomial Spline Solution for a Fourth Order Non Homegeneous Parabolic Partial Differential Equation with a Seperated Boundary
Akkoyunlu, Canan; Er, Neslihan Fatma; Yeniçeri, Sanem; Çağlar, Hikmet (2012)In this paper, a fourthorder nonhomogeneous parabolic partial differential equation with initial and separated boundary conditions is solved by using a nonpolynomial spline method. In the solution of the problem, finite ... 
NonPolynomial Spline Method For A Singularly Perturbed ConvectionDominated Diffusion Equation
Çağlar, Hikmet; Uçar, Mehmet Fatih; Yıldırım, Mesut (Int Scientific Conference Sgem, 14, Kilment Ohridsky Blvd, Sofia, 1797, Bulgaria, 2010)In this study, a singularly perturbed convectiondominated diffusion equation is solved by using a nonpolynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained ...