Yazar "Oturanc, Galip" seçeneğine göre listele

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    Application of Differential Transform Method for El Nino Southern Oscillation (ENSO) Model with compared Adomian Decomposition and Variational Iteration Methods
    (JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, 2015) Gubes, Murat; Peker, H. Alpaslan; Oturanc, Galip
    We consider two nonlinear El Nino Southern Oscillation (ENSO) model to obtain approximate solutions with differential transform method for the first time. Efficiency, accuracy and error rates of solutions are compared with analytic solution, variational iteration and adomian decomposition solutions on the given tables and figures.
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    A new analytical approximate method for the solution of fractional differential equations
    (TAYLOR & FRANCIS LTD, 2008) Oturanc, Galip; Kurnaz, Aydin; Keskin, Yildiray
    A new analytical approximate method for the solution of fractional differential equations is presented. This method, which does not require any symbolic computation, is important as a tool for scientists and engineers because it provides an iterative procedure for obtaining the solution of both linear and non-linear fractional differential equations. The effectiveness of the proposed method is illustrated with some examples.
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    Numerical solution of time-dependent Foam Drainage Equation (FDE)
    (UNIV TABRIZ, 2015) Gubes, Murat; Keskin, Yildiray; Oturanc, Galip
    Reduced Differental Transform Method (RDTM), which is one of the useful and effective numerical method, is applied to solve nonlinear time-dependent Foam Drainage Equation (FDE) with different initial conditions. We compare our method with the famous Adomian Decomposition and Laplace Decomposition Methods. The obtained results demonstrated that RDTM is a powerful tool for solving nonlinear partial differential equations (PDEs), it can be applied very easily and it has less computational work than other existing methods like Adomian decomposition and Laplace decomposition. Additionally, effectiveness and precision of RDTM solutions are shown in tables and graphically.
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    Reduced Differential Transform Method for Improved Boussinesq Equation
    (AMER INST PHYSICS, 2015) Servi, Sema; Keskin, Yildiray; Oturanc, Galip
    In this paper, the approximate solution of improved Boussinesq equation was found through reduced differential transform method. The equation has been used in many mathematical, engineering problems and mathematical physics. It is known a complicated and time-consuming solution. These problems were overcome by RDTM. Algebraic equations which was obtained by transform been done with RDTM was solved with Maple 13 computer program and the results obtained by RDTM compared with the results of exact solution.
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    Reduced Differential Transform Method for Partial Differential Equations
    (FREUND PUBLISHING HOUSE LTD, 2009) Keskin, Yildiray; Oturanc, Galip
    Recently differential transform method (DTM) has been used to solve various partial differential equations. In this paper, an alternative approach called the reduced differential transform method (RDTM) is presented to overcome the demerit of complex calculation of differential transform method. Comparing the methodology with some known techniques shows that the present approach is effective and powerful. In addition, three test problems of mathematical physics are discussed to illustrate the effectiveness and the performance of the reduced differential transform method.
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    Reduced Differential Transform Method for Solving Klein Gordon Equations
    (INT ASSOC ENGINEERS-IAENG, 2011) Keskin, Yildiray; Servi, Sema; Oturanc, Galip
    Reduced differential transform method (RDTM) is implemented for solving the linear and nonlinear Klein Gordon equations. The approximate analytical solution of the equation is calculated in the form of a series with easily computable components. Comparing the methodology with some other known techniques shows that the present approach is effective and powerful. Three test modeling problems from mathematical physics are discussed to illustrate the effectiveness and the performance of the proposed method.
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    A Study on Marangoni Convection by the Variational Iteration Method
    (AMER INST PHYSICS, 2012) Karaoglu, Onur; Oturanc, Galip
    In this paper, we will consider the use of the variational iteration method and Pade approximant for finding approximate solutions for a Marangoni convection induced flow over a free surface due to an imposed temperature gradient. The solutions are compared with the numerical (fourth-order Runge Kutta) solutions.