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- research-articleApril 2020
A fast Galerkin finite element method for a space–time fractional Allen–Cahn equation
Journal of Computational and Applied Mathematics (JCAM), Volume 368, Issue Chttps://doi.org/10.1016/j.cam.2019.112482AbstractIn this paper, a space–time fractional Allen–Cahn equation is investigated to account for the memory effect of certain materials or the anomalous diffusion processes in heterogeneous distributed media for the mixture of two immiscible ...
- research-articleOctober 2017
A spacetime fractional phase-field model with tunable sharpness and decay behavior and its efficient numerical simulation
Journal of Computational Physics (JOCP), Volume 347, Issue CPages 20–38https://doi.org/10.1016/j.jcp.2017.06.036We present a spacetime fractional AllenCahn phase-field model that describes the transport of the fluid mixture of two immiscible fluid phases. The space and time fractional order parameters control the sharpness and the decay behavior of the interface ...