Yazar "Keskin, Yildiray" seçeneğine göre listele

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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 Sine-Gordon Equation by Reduced Differential Transform Method
    (INT ASSOC ENGINEERS-IAENG, 2011) Keskin, Yildiray; Caglar, Ibrahim; Koc, Ayse Betul
    Reduced differential transform method (RDTM), which does not need small parameter in the equation is implemented for solving the sine-Gordon equation. 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, both nonlinear and coupled are discussed to illustrate the effectiveness and the performance of the proposed method.
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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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    The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
    (PERGAMON-ELSEVIER SCIENCE LTD, 2010) Cenesiz, Yuecel; Keskin, Yildiray; Kurnaz, Aydin
    In this paper, the Bagley-Torvik equation, which has an important role in fractional calculus, is solved by generalizing the Taylor collocation method. The proposed method has a new algorithm for solving fractional differential equations. This new method has many advantages over variety of numerical approximations for solving fractional differential equations. To assess the effectiveness and preciseness of the method, results are compared with other numerical approaches. Since the Bagley-Torvik equation represents a general form of the fractional problems, its solution can give many ideas about the solution of similar problems in fractional differential equations. (C) 2009 The Frankl in Institute. Published by Elsevier Ltd. All rights reserved.