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Öğe Application of multivariate pade approximation for partial differential equations (PDE)(Batman Üniversitesi, 2012) Turut, VeyisThe implementation of Multivariate Padé Approximation (MPA) was examined in this paper. Multivariate Padé Approximation (MPA) was applied to the two examples solved by Adomian’s Decomposition Method (ADM). That is, power series solutions by Adomian’s Decomposition, was put into Multivariate Padé series form. Thus Numerical solutions of two examples were calculated and results were presented in tables and figures.Öğe Comparing numerical methods for solving time-fractional reaction-diffusion equations(Hindawi, 2012-08-29) Turut, Veyis; Güzel, NuranMultivariate Pade approximation ´ MPA is applied to numerically approximate the solutions of time-fractional reaction-diffusion equations, and the numerical results are compared with solutions obtained by the generalized differential transform method GDTM. The fractional derivatives are described in the Caputo sense. Two illustrative examples are given to demonstrate the effectiveness of the multivariate Pade approximation ´ MPA. The results reveal that the multivariate Pade approximation ´ MPA is very effective and convenient for solving timefractional reaction-diffusion equationsÖğe An efficient nonlinear technique for systems of fractional differential equations(Istanbul Gelisim University, 2017) Turut, Veyis; Bayram, MustafaÖğe 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 figuresÖğe 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 padé approximation for soving nonlinear diffusion equations(Yıldız Technical University, 2015) Turut, Veyis; Güzel, Nuran; Çelik, ErcanÖğe 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 Nonlinear solutions of conformable fractional differential equations(2018) Turut, Veyis; Badur, SaraÖğe Nonlinear solutions of the space- and time-fractional coupled Burgers equations(Istanbul Gelisim University, 2017) Turut, Veyis; Bayram, MustafaÖğe Numerical approximatons for solving partial differentıal equations with variable coefficients(Science Publishing Group, 2013-02-20) Turut, VeyisIn this paper, variational iteration method (VIM) and multivariate padé approximaton (MPA) were compared. First, partial differential eqaution has been solved and converted to power series by variational iteration method (VIM), then the numerical solution of partial differential eqauation was put into multivariate padé series. Thus the numerical solutions of the partial differential eqautions were obtained. Numerical solutions of two examples were calculated and results were presented in tables and figures.Öğe Numerical comparisons for fokker planck equations(Yıldız Technical University, 2015) Turut, Veyis; Bayram, MustafaÖğe On solving partial differential eqauations of fractional order by using the variational iteration method and multivariate padé approximation(European Journal of Pure and Applied Mathematics, 2013-04) Turut, Veyis; Güzel, NuranIn this article, multivariate Padé approximation and variational iteration method proposed by He is adopted for solving linear and nonlinear fractional partial differential equations. The fractional derivatives are described in the Caputo sense. Numerical illustrations that include nonlinear timefractional hyperbolic equation and linear fractional Klein-Gordon equation are investigated to show efficiency of multivariate Padé approximation. Comparison of the results obtained by the variational iteration method with those obtained by multivariate Padé approximation reveals that the present methods are very effective and convenient.Öğe Padé approximation for solving fourth-order fractional integro-differentialequations(Istanbul Gelisim University, 2017) Turut, Veyis; Güzel, Nuran; Çelik, ErcanÖğe Padé approximations for solving differential equations of Lane-Emden type(Batman Üniversitesi, 2015) Turut, VeyisBu çalışmada ikinci mertebeden Lane-Emden türündeki diferansiyel denklemlere Padé yaklaşımı uygulanmıştır. Nümerik sonuçlar, Padé yaklaşımının güvenilir, etkili ve nümerik hesaplamalar için kullanışlı olduğunu göstermektedir.Öğe Rational approximations for solving cauchy problems(Yıldız Technical University, 2015) Turut, Veyis; Bayram, MustafaÖğe Rational approximatons for solving cauchy problems(2016-08-16) Turut, Veyis; Bayram, MustafaIn this letter, numerical solutions of Cauchy problems are considered by multivariate Pad´e approximations (MPA). Multivariate Pad´e approximations (MPA) were applied to power series solutions of Cauchy problems that solved by using He’s variational iteration method (VIM). Then, numerical results obtained by using multivariate Pad´e approximations were compared with the exact solutions of Cauchy problems.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.
