Browsing by Author "Çağlar, Hikmet"
Now showing items 1-20 of 28
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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)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
(2009-07)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 user-friendly software with a graphical user interface. ... -
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)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 Bratu's Problem
(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 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)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
(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
(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
(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
(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 ... -
Compact Finite Differences Method And Caputo Fractional Derivative Definition For Lineer Fractional Schrödingerequations
(2018-03)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
(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 ... -
FIBAC 2012 Proceedings Of The Internatıonal Finance, Banking & Insurance Congress
(İstanbul Kültür Üniversitesi Yayınları, 2013) -
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)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 ... -
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)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
(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 ... -
Galerkin Method For Fractional Diffusion Equation
(2016-11)The one-dimensional 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 Solution for a Fourth Order Non Homegeneous Parabolic Partial Differential Equation with a Seperated Boundary
(2012)In this paper, a fourth-order non-homogeneous parabolic partial differential equation with initial and separated boundary conditions is solved by using a non-polynomial spline method. In the solution of the problem, finite ... -
Non-Polynomial Spline Method For A Singularly Perturbed Convection-Dominated Diffusion Equation
(Int Scientific Conference Sgem, 14, Kilment Ohridsky Blvd, Sofia, 1797, Bulgaria, 2010)In this study, a singularly perturbed convection-dominated diffusion equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained ...
