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The governing equations system is solved using a fractional time step procedure, splitting the convective components from the diffusive ones.
Thus a deliberate inclusion of a fractional time delay network in one of the arms of a CDTL is a novel technique to improve its dynamical responses.
A microbial reduction model has been developed using the PEPT data, based on construction of a fractional time density as a function of distance from the UV source.
A fractional time step methodology is applied for the solution of the original system, solving consecutively a prediction and a correction problem.
The parameter n is the reaction order, α is a fractional time index, qe measures the maximal quantity of solute adsorbed, and a "half-reaction time", τ1/2, can be calculated, which is the time necessary to reach half of the equilibrium.
The major challenge to implement high-order Runge Kutta schemes in the LBM is that the flow information such as density and velocity cannot be directly obtained at a fractional time step from the LBM since the LBM only provides the flow information at an integer time step.
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Time evolution is implemented using a fractional time-stepping technique.
In this method, a fractional time-step method is introduced to enforce both the zero-density-variation condition and the velocity-divergence-free condition at each full time-step.
Joy, who developed Jini and was the brains behind Java, likened apps-on-tap to a fractional time-share in which you can have a condo or a car for a few days a year only when you need them.
According to recent atomic structure calculations, this sets an upper limit to a possible fractional time variation of g(Cs)(m e)/m(p))alpha 6.0) at the same level.
Here, the modified anomalous sub-diffusion equation has been proposed to describe the processes that become less anomalous as time progresses by inclusion of a secondary fractional time derivative acting on diffusion operator [10 13].
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