On solving partial differential eqauations of fractional order by using the variational iteration method and multivariate padé approximation
Citation
Turut, V., Güzel, N. (2013). 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, 6 (2), pp. 147-171.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 variational
iteration method with those obtained by multivariate Padé approximation reveals that the present
methods are very effective and convenient.
Source
European Journal of Pure and Applied MathematicsVolume
6Issue
2Collections
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