On solving Partial Differential Equations of Fractional Order by Using the Variational Iteration Method and Multivariate Padé Approximations

In this article, multivariate Pade 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 Pade approximation. Comparison of the results obtained by the variational iteration method with those obtained by multivariate Pade approximation reveals that the present methods are very effective and convenient.

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