Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation
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摘要
In this paper, we use the fractional variational homotopy perturbation iteration method (FVHPIM) with modified Riemann–Liouville derivative to solve a time-fractional diffusion equation. Using this method, a rapid convergent sequence tending to the exact solution of the equation can be obtained. To show the efficiency of the considered method, some numerical examples are presented.
论文关键词:Variational iteration method,Homotopy perturbation method,Modified Riemann–Liouville derivative,Fractional diffusion equation,Mittag–Leffler function
论文评审过程:Available online 21 January 2013.
论文官网地址:https://doi.org/10.1016/j.amc.2012.12.003