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Öğe Multivariate padé approximation for solving partial differential equations (PDE)(Wiley-Blackwell, 2011-07-30) Turut, Veyis; Çelik, Ercan; Yiğider, MuhammedIn this paper, numerical solution of partial differential equations (PDEs) is considered by multivariate padé approximations. We applied these method to two examples. First, PDE has been converted to power series by two-dimensional differential transformation, Then the numerical solution of equation was put into multivariate padé series form. Thus, we obtained numerical solution of PDE.Öğe Multivariate pade approximations for solving nonlinear diffusion equations(Walter de Gruyter, 2015-11-24) Turut, VeyisIn this paper, multivariate Pade approximation is applied to power series solutions of nonlinear diffusion equations. As it is seen from tables, multivariate Pade approximation (MPA) gives reliable solutions and numerical results.Öğe The theoretical and experimental study on double-Gaussian distribution in inhomogeneous barrier-height Schottky contacts(Elsevier, 2010-11) Yıldırım, Nezir; Turut, Abdulmecit; Turut, VeyisWe have considered multi-Gaussian distribution of barrier-heights for non-interactive barrier inhomogeneities in the inhomogeneous Schottky diodes, and we have shown the presence of the intersecting behavior in the forward-bias current-voltage (I-V) curves for the double-Gaussian distribution model at low temperatures. We have tried to eliminate this effect by generating I-V curves at lower temperatures with the bias-dependent barrier-height expression which leads to the ideality factors greater than unity. For this calculation, we have obtained the expressions for the barrier-height change and ideality factor, and for bias-dependency of the BH for the multi-Gaussian model by following the literature. We have shown that the experimental forward-bias I-V curves coincide with the theoretical ones using the bias-dependent inhomogeneous BH expression at low and high temperatures in the double-Gaussian distribution of BHs.Öğe Multivariate padé approximation for solving nonlinear partial differential equations of fractional order(Hindawi, 2013-03-16) Turut, Veyis; Güzel, NuranTwo tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Pade approximation (MPA), for ´ solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. First, the fractional differential equation has been solved and converted to power series by Adomian decomposition method (ADM), then power series solution of fractional differential equation was put into multivariate Pade series. Finally, numerical results were ´ compared and presented in tables and figures
