Sentence examples for super diffusion from inspiring English sources
Various anisotropic diffusion and super diffusion operators originated from image edge detection are proposed for the treatment of hyperbolic conservation laws and near-hyperbolic hydrodynamic equations of change.
As discussed in Section 3, we can control diffusivity by setting suitable values of α 1 and α 2. Smaller diffusivity parameters result in frequent long flights and super-diffusion, whereas higher parameters reveal frequent small steps and sub-diffusion.
It leads to the theory of sub- and super-diffusion, which is well applicable in reaction-diffusion systems.
There exist fractional models which have fractional orders lying in (1, 2), for example, super-diffusion [19].
Here, the properties of spectral entropy are investigated for the cases of sub-diffusion and super-diffusion.
In the field of mathematical epidemiology, especially the super-diffusion case is of interest since it describes a more realistic spreading than normal diffusion on regular lattices.
The case (sigma =1) corresponds to the classical diffusion, and the transport phenomenon exhibits sub-diffusion for (sigma <1) while super-diffusion is associated with (sigma >1).
Empirically, super-diffusion processes are displayed by investigating the effect of the fractional power of the underlying Laplacian operator on the pattern formation found in these models.
The value of β = 1.2448 implies that absorption onto this swelling porous media belong to the category of super-diffusion, which is a phenomenon unknown to us before.
The error propagation equation is analyzed to identify different types of errors as those due to sub- or super-diffusion and dispersive diffusion errors.
