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2012 - 20133
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  • Küçük Resim
    Öğe
    Comparing numerical methods for solving time-fractional reaction-diffusion equations
    (Hindawi, 2012-08-29) Turut, Veyis; Güzel, Nuran
    Multivariate 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 equations
  • Küçük Resim
    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, Nuran
    In 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.
  • Küçük Resim
    Öğe
    Multivariate padé approximation for solving nonlinear partial differential equations of fractional order
    (Hindawi, 2013-03-16) Turut, Veyis; Güzel, Nuran
    Two 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