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Öğe Nonlinear solutions of conformable fractional differential equations(2018) Turut, Veyis; Badur, SaraÖğe An efficient nonlinear technique for systems of fractional differential equations(Istanbul Gelisim University, 2017) Turut, Veyis; Bayram, MustafaÖğe Numerical comparisons for fokker planck equations(Yıldız Technical University, 2015) Turut, Veyis; Bayram, MustafaÖğe 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 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 Nonlinear solutions of the space- and time-fractional coupled Burgers equations(Istanbul Gelisim University, 2017) Turut, Veyis; Bayram, MustafaÖğe 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 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, Ercan
