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This equation is a pure advection (without diffusion) equation.
The models mentioned above have concentrated only on the temporal dimension without diffusion.
Recently, Qamar adapted this scheme to numerically solve population balance equations without diffusion terms.
The almost vertical line for the CNT electrode here demonstrates a good capacitive behavior without diffusion limitation.
The intrinsic node dynamics (without diffusion) has a double-scrolling chaotic attractor [30], which is shown in Figure 1.
These results indicate that rapid heating rates caused the reverse transformation to occur without diffusion.
The reaction can be regarded as irreversible and proceeds without diffusion limitations inside the catalytic microspheres.
E 1, E 2 are also positive equilibria for Equation (2.1) without diffusion, and when E 2 exists, it is unstable.
Furthermore, in neural field models [47], localized two-dimensional bumps are studied [48 50] in integrodifferential equations (without diffusion) in the context, for example, of memory formation [51].
The simulation results indicate that by considering the molecular diffusion mechanism CO2 penetrates deeper into the shale matrix than without diffusion.
The diffusion sensitizing gradients were applied along 30 non-collinear directions (b = 1000 s/mm2) with an acquisition without diffusion weighting (b = 0 s/mm2).
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