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Öğe A 3D Langrangian particle model for the atmospheric dispersion of toxic pollutants(2002) Oturanç G.; Özbalta N.; Güngör A.A 3D Lagrangian particle model has been presented for the atmospheric dispersion of the toxic pollutants released from industrial stacks. As the mean wind speed and direction is changed with height in a real atmosphere, the height of the exhaust stack may have a strong impact on the pollutant dispersion and ground concentrations. An elevated continuous release of non-buoyant gas in a neutrally stratified atmosphere has been simulated, for various stack heights. The turbulent atmospheric parameters like vertical profiles of fluctuating wind velocity components and eddy lifetime were calculated using a semi-empirical mathematical model. The numerically calculated horizontal and vertical dispersion coefficients (?y and ?z) are compared with the Pasquill's empirical ?'s. The ground concentration as a function of downwind distance has been compared with the Green glow data. The ground concentrations for various release heights were compared with the Gaussian plume model. The comparison indicated a need for using either a modified Gaussian model or a 3D numerical mathematical model for pollutant dispersion and ground concentration calculations. Copyright © 2002 John Wiley & Sons, Ltd.Öğe The approximate solution of high-order linear fractional differential equations with variable coefficients in terms of generalized taylor polynomials(2011) Keskin Y.; Karao?lu O.; Servi S.; Oturanç G.In this paper, we have developed a new method called Generalized Taylor collocation method (GTCM), which is based on the Taylor collocation method, to give approximate solution of linear fractional differential equations with variable coefficients. Using the collocation points, this method transforms fractional differential equation to a matrix equation which corresponds to a system of linear algebraic equations with unknown Generalized Taylor coefficients. Generally, the method is based on computing the Generalized Taylor coefficients by means of the collocation points. This method does not require any intensive computation. Moreover, It is easy to write computer codes in any symbolic language. Hence, the proposed method can be used as effective alternative method for obtaining analytic and approximate solutions for fractional differential equations. The effectiveness of the proposed method is illustrated with some examples. The results show that the method is very effective and convenient in predicting the solutions of such problems. © Association for Scientific Research.Öğe The differential transformation method and pade approximant for a form of blasius equation(2011) Peker H.A.; Karao?lu O.; Oturanç G.Boundary conditions in an unbounded domain, i.e. boundary condition at infinity, pose a problem in general for the numerical solution methods. The aim of this study is to overcome this difficulty by using Padé approximation with the differential transform method (DTM) on a form of classical Blasius equation. The obtained results are compared with, for the first time, the ones obtained by using a modified form of Adomian decomposition method (ADM). Furthermore, in order to see the consistency of solutions, they are also compared with the ones obtained by using variational iteration method (VIM). Copyright © Association for Scientific Research.Öğe The maple program procedures at solution systems of differential equation with Taylor collocation method(Springer New York LLC, 2014) Servi S.; Keskin Y.; Oturanç G.In this paper, a maple algorithm Taylor collocation method has been presented for numerically solving the systems of differential equation with variable coefficients under the mixed conditions. The solution is obtained in terms of Taylor polynomials. This method is based on taking the truncated Taylor series of the function in equations and then substituting their matrix forms in the given equation. Hence, the result of matrix equation can be solved and the unknown Taylor coefficients can be found approximately. The results obtained by Taylor collocation method will be compared with the results of differential transform method and Adomian decomposition method. © Springer International Publishing Switzerland 2014.Öğe On the theory of a certain class of quadratic pencils of matrices and its applications(1997) Guseinov G.Sh.; Oturanç G.This paper is devoted to the study of the properties of eigenvalues and eigenvectors of quadratic pencil ?2C - ?R - J, where C is a positive diagonal matrix, R is an arbitrary real diagonal matrix, J is a "tridiagonal" real symmetric and positive matrix. The obtained results are then used to solve the corresponding system of differential equations with boundary and initial conditions. © TÜBİTAK.
