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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 Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade Technique(ISFAHAN UNIV TECHNOLOGY, 2016) Gubes, M.; Oturanc, G.In this paper, Variational Iteration method with combining Pade approximation (Modified Variational Iteration Method-MVIM) is performed to Marangoni convection flow over the surface with buoyancy effects which is occurred gravity and external pressure. After the appropriate transformation of equations, we get the dimensionless form to solve numerically with modified variational iteration method. We compare the our results with well-known asymptotic expansion method used by Zhang Yan and Zheng Liancun and also compare with Fourth order Runge Kutta solution which are presented in tables. Very efficient and accurate results are obtained with presented method.