A high-order compact difference method for fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0992-4
Abstract: In a recent paper, Ren and Liu proposed and analyzed a high-order compact finite difference method for a class of fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions. In this paper, we… read more here.
Keywords: order compact; diffusion equations; high order; sub diffusion ... See more keywords
A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.04.009
Abstract: Abstract In this paper, we develop an effective numerical method for solving the fractional sub-diffusion equation with Neumann boundary conditions. The time fractional derivative is approximated by the L1 scheme on graded meshes, the spatial… read more here.
Keywords: neumann boundary; equation neumann; scheme; sub diffusion ... See more keywords
Fractional Transport of Photons in Deterministic Aperiodic Structures
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DOI: 10.1038/s41598-017-02170-9
Abstract: The propagation of optical pulses through primary types of deterministic aperiodic structures is numerically studied in time domain using the rigorous transfer matrix method in combination with analytical fractional transport models. We demonstrate tunable anomalous… read more here.
Keywords: fractional transport; aperiodic structures; transport; sub diffusion ... See more keywords
Water sub-diffusion in membranes for fuel cells
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DOI: 10.1038/s41598-017-08746-9
Abstract: We investigate the dynamics of water confined in soft ionic nano-assemblies, an issue critical for a general understanding of the multi-scale structure-function interplay in advanced materials. We focus in particular on hydrated perfluoro-sulfonic acid compounds… read more here.
Keywords: fuel cells; diffusion; water; water sub ... See more keywords
NUMERICAL SIMULATIONS FOR THE VARIABLE ORDER TWO-DIMENSIONAL REACTION SUB-DIFFUSION EQUATION: LINEAR AND NONLINEAR
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DOI: 10.1142/s0218348x22400199
Abstract: The applications and the fields that use the anomalous sub-diffusion equations cannot be easily listed due to their wide area. Sure, one of the main physical reasons for using and researching fractional order diffusion equations… read more here.
Keywords: order; diffusion; diffusion equation; sub diffusion ... See more keywords