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

Authors

  • Veyis Turut
  • Nuran Guzel

Keywords:

Variational iteration method, Multivariate Padé approximation, Fractional differential equation, Caputo fractional derivative

Abstract

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 variationaliteration method with those obtained by multivariate Padé approximation reveals that the present methods are very effective and convenient.

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How to Cite

Turut, V., & Guzel, N. (2013). On solving Partial Differential Equations of Fractional Order by Using the Variational Iteration Method and Multivariate Padé Approximations. European Journal of Pure and Applied Mathematics, 6(2), 147–171. Retrieved from https://ejpam.com/index.php/ejpam/article/view/1928