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Öğe Approximate solutions of generalized pantograph equations by the differential transform method(WALTER DE GRUYTER GMBH, 2007) Keskin, Y.; Kurnaz, A.; Kiris, M. E.; Oturanc, G.This paper focuses on the numerical solution of pantograph equations by the differential transform method. The numerical scheme of the method is convienient for computational purpose and is it easy to set a computer code in the calculation of the numerical and explicit solutions. The algorithm of the method is illustrated by some initial value problems.Öğe A Better Approximation to the Solution of Burger-Fisher Equation(INT ASSOC ENGINEERS-IAENG, 2011) Kocacoban, D.; Koc, A. B.; Kurnaz, A.; Keskin, Y.The Burger-Fisher equations occur in various areas of applied sciences and physical applications, such as modeling of gas dynamics, financial mathematics and fluid mechanics. In this paper, this equation has been solved by using a different numerical approach that shows rather rapid convergence than other methods. Illustrative examples suggest that it is a powerful series approach to find numerical solutions of Burger-Fisher equations.Öğe Pade Embedded Piecewise Differential Transform Method for the Solution of Ode’s(Assoc Sci Res, 2010) Çenesiz, Y.; Koç, A. B.; Çitil, B.; Kurnaz, A.In this paper Pade Embedded Differential Transformation is proposed for the solution of higher order nonlinear or linear Ordinary Differential Equations (ODE's). The proposed approach provides a better iterative procedure to Find the spectrum of the analytic solutions compared to the classical differential transformation. Illustrative examples are presented to show the preciseness and effectiveness of the proposed method.