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Öğe 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 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
