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However, many practical applications involved variable diffusion coefficients [27 29].
In this paper we focus our attention on the case of variable diffusion coefficients.
The liquid is a binary system, having a variable diffusion coefficient, which depends on the solute concentration.
More importantly, we investigate the effects of the variable diffusion rate and the intrinsic growth rate on the scale of information spreading in networks.
We show its applicability in the context of integration problems, and for discretizing Dirac-distributed source terms in Poisson equations with constant or variable diffusion coefficients.
A variational formulation of Winslow's variable diffusion method is combined with a directional control functional to derive an adaptive grid generator for adaptive node movement.
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Curiously, in the PS81 case, the word aggregation (word 2, score = 0.3) was considerably less variable than diffusion (word 5, score = 2.7) even though the seminal paper [22] was about diffusion-limited aggregation.
a Multiple well-defined variable sized diffusion restricting nodules are seen involving both liver and spleen.
We present an efficient iterative method for solving the variable coefficient diffusion equation on a unit disk.
It is observed that plate oscillation, variable mass diffusion, radiation, viscous dissipation, and a porous medium affect the flow profiles significantly.
Finally, we perform simulations of wave propagation in a truncated domain to demonstrate how erroneous wave reflections at the boundaries can be eliminated by super-diffusion, and also simulations of the Burgers equation that serve as a testbed for studying the loss and recovery of monotonicity using again variable rate diffusion as a function of space and/or time.
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