Fractional differentiation and integration operators were also used for extensions of diffusion and wave equations [2].
This method is an extension of the diffusion velocity method.
Our method is based on an extension of the diffusion-velocity method of Degond and Mustieles (SIAM J. Sci. Stat. Comput.11(293 293 (1990)) to the dispersive framework.
Energy-efficient Differentiated Directed Diffusion (EDDD) [7] is an extension of the directed diffusion protocol to establish a path between a source and a sink with the minimum hop count and the minimum available energy to enhance the shortcomings of the original directed diffusion.
Although extensions of the diffusion model (Ratcliff & Tuerlinckx, 2002) account for across trial variability in drift rate, starting point and non-decision time, we limit ourselves here to the four main parameters.
It is an extension of the Bass diffusion model that accommodates financial and non-financial benefits, ceilings of adoption and interactions between intervention options.
Recently an extension of non-linear diffusion theory for the perpendicular transport of energetic particles interacting with magnetic turbulence was developed.
The results indicate that the short-circuit current density is a compromise between two conflict factors: enlargement of the surface area by increasing photoanode thickness and extension of the electron diffusion length to the electrode as the thickness increases.
Thus, in a complete cycle of primer extension, from diffusion-in of dNTP and Mg2+ ions and the nucleotidyl-transfer reaction to pyrophosphate release and DNA translocation, no significant domain movement is needed or observed.
A low-Mach number extension of the low-diffusion AUFSR scheme, called AUFSR+, is proposed.
These models include the conventional Knox time-averaged model, the extension to molecular diffusion of the Landauer electrical conductance model, the Garnett diffusion model for the inclusion of core-shell spheres down to infinitesimal small sizes, and the stochastic Torquato model for a random dispersion of spheres in contact.
