Sentence examples for both the linear diffusion from inspiring English sources

In this work, we adapt implicit time integration schemes to integrate both the linear diffusion equation and the nonlinear ODEs or so-called reaction equations.

With respect to time integration, both the linear diffusion and the nonlinear reaction parts can be in principle integrated with any standard ODE solver.

For (n=2), Theorem 1.1 also shows that both the attraction and repulsion cannot result in blow-up when the linear diffusion is replaced by a nonlinear one.

By stopping the linear diffusion process at that peak τ=3.2, the diffused image is displayed in Fig. 16 f.

By stopping the linear diffusion process at the second peak location, we get the diffused image is shown in Fig. 4 c.

where is the linear diffusion operator whose action on a function is given by (26).

The linear diffusion process was conducted for this noisy image to mitigate the effect of Gaussian noise.

The time constant for the nonlinear diffusion term is 1,200 s and that for the linear diffusion term is 600 s.

At fast voltammetric scan rates the linear diffusion electroactive area was unaffected by iridium activation.

One of the motivations to investigate the singular solution comes from [3], in which the single parabolic equation in the linear diffusion case ((m=1)) has been considered.

The linear diffusion process implemented by so-called heat equation is the oldest and well-investigated noise-smoothing process in the image processing domain.