Girişimcilik Bölümü / Department of Entrepreneurship
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Browsing Girişimcilik Bölümü / Department of Entrepreneurship by Author "Çağlar, Hikmet"
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Publication Metadata only A model proposal for the chaotic structure of Istanbul stock exchange(PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2008-06) İşeri, Müge; Çağlar, Hikmet; Çağlar, Nazan; TR110809; TR114368Chaos 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 is a common characteristic. This present paper evaluates the effects of a nonlinear dynamic system in Istanbul Stock Exchange, based on time series. The reliability of predicting stock behaviour depends on this fact. In other words, the aim is to prove that if ISE daily index return shows chaotic behaviour. (C) 2006 Elsevier Ltd. All rights reserved.Publication Metadata only B-spline Interpolation Compared with Finite Difference, Finite Element and Finite Volume Methods Which Applied to Two-Point Boundary Value Problems(ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2006-04-01) Çağlar, Hikmet; Çağlar, Nazan; Elfaituri, Khaled; TR114368; TR110809This 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), a < x < b, u(a) = u(b) = 0.Publication Embargo B-spline Method For Solving Linear System Of Second-Order Boundary Value Problems(Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2009-03) Çağlar, Nazan; Çağlar, Hikmet; TR110809; TR114368The 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 proposed by J. Lu [J. Lu, Variational iteration method for solving a nonlinear system of second-order boundary value problems, Comput. Math. Appl. 54 (2007) 1133-1138]. The comparison shows that the B-spline method is a more efficient and effective tool and yields better results. (C) 2008 Elsevier Ltd. All rights reserved.Publication Metadata only B-Spline Solution For A Singularly Perturbed Convection-Dominated Diffusion Equation(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2009-04) Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; TR114368; TR110809; TR2509In 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 the viability of the present new method.Publication Metadata only B-spline solution of non-linear singular boundary value problems arising in physiology(Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2009-02-15) Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; TR114368; TR110809; TR2509We 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 modified at singular point then the boundary value problem is treated by Using B-spline approximation. The numerical method is tested for its efficiency by considering three model problems from physiology. (C) 2007 Elsevier Ltd. All rights reservedPublication Metadata only B-Spline Solution Of The Black-Scholes Partial Differential Equation(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2010-07) Çağlar, Nazan; İşeri, Müge; Çağlar, Hikmet; Özer, Mehmet; TR110809; TR114368; TR2509The 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 model which has been used frequently is solved by using the B-spline functions. The numerical experiments showed that the present method is an applicable technique and gives an exciting results for European option pricing.Publication Metadata only Dynamics of the solution of Bratu's equation(PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2009-12-15) Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; Valaristos, Antonios; Miliou, Amalia N.; Anagnostopoulos, Antonios N.; TR114368; TR110809; TR2509In 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 bifurcations and shows chaotic regimes. This behaviour was confirmed by calculating the corresponding Lyapunov exponent, power spectra and cobweb diagrams, indicating similarities with other well-known one-dimensional maps. (C) 2008 Elsevier Ltd. All rights reserved.Publication Metadata only Fifth-degree B-spline solution for a fourth-order parabolic partial differential equations(ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2008-07-15) Çağlar, Hikmet; Çağlar, Nazan; TR114368; TR110809In 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 the present method is an applicable technique and approximates the exact solution very well. (c) 2008 Elsevier Inc. All rights reserved.Publication Embargo Fifth-degree B-spline solution for nonlinear fourth-order problems with separated boundary conditions(IOP PUBLISHING LTD, DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND, 2008) Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; TR110809; TR114368; TR2509In 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 illustrate the efficiency and performance of the method. The method gives accurate results for both the linear and nonlinear cases.Publication Metadata only FT-IR, EDXRF analysis of the Mardin-Mazidag phosphate deposit of Turkey and relations between phosphate, uranium and fluorine(ASIAN JOURNAL OF CHEMISTRY, 11/100 RAJENDRA NAGAR, SECTOR 3,, SAHIBABAD 201 005, GHAZIABAD, INDIA, 2008-06) Çağlar, Hikmet; Çağlar, Nazan; AKYÜZ, SEVİM; AKYÜZ, ZEKİ TANIL; TR111424; TR10127; TR114368; TR110809EDXRF 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 contents of the 25 individual phosphate samples were analyzed by EDXRF (U and P) and wet chemical methods (F). Quadratic regression model were applied on the U, P and F analyses results, in order to show the interrelation between phosphate, uranium and fluorine contents.Publication Metadata only Non-Polynomial Spline Method Of A Non-Linear System Of Second-Order Boundary Value Problems(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2010-04) Çağlar, Hikmet; Çağlar, Nazan; Akkoyunlu, Canan; TR114368; TR110809; TR113376The 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 method. Results obtained by the method indicate the method is simple and effective.Publication Metadata only Numerical solution of integral equations by using local polynomial regression(EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 2008-04) Çağlar, Nazan; Çağlar, Hikmet; TR114368; TR110809In 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 Regression (LPR). We shown that, present new method is powerful in solving both Fredholm and Volterra integral equations. The method is tested on some model problems to demonstrate its usefulness. The convergence of the method is discusses.Publication Metadata only Solution of fifth order boundary value problems by using local polynomial regression(ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2007-03-15) Çağlar, Hikmet; Çağlar, Nazan; TR114368; TR110809In 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 presented in this paper is also compared with those developed by Siddiqi and Akram [Solution of fifth order boundary value problems using nonpolynomial spline technique, Appl. Math. Comput. 175 (2006) 1575-1581], as well and is observed to be better. (c) 2006 Elsevier Inc. All rights reserved.Publication Metadata only The numerical solution of partial differential equations with local polynomial regression(LPR)(EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 2009-10) Çağlar, Hikmet; Çağlar, Nazan; Çağal, Behiç; TR114368; TR110809In 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.Publication Metadata only The numerical solution of the one-dimensional heat equation by using third degree B-spline functions(PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2008-11) Çağlar, Hikmet; Özer, Mehmet; Çağlar, Nazan; TR114368; TR110809; TR2509In 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 discussed and illustrated with an example. The results of numerical testing show that the numerical method based on the given techniques produce good results. (c) 2007 Elsevier Ltd. All rights reserved.Publication Metadata only The principal component analysis of continuous sample curves with higher-order B-spline functions(EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 2006-06) Çağlar, Hikmet; Çağlar, Nazan; TR110809; TR114368This 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 wavelengths simulated data.