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By using identical species input volume rates per minute into a test geometry and in absence of chemical reactions, the species mass fractions are known analytically exact after complete mixing, which permits to evaluate the absolute numerical error of the diffusion computation.
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The purpose of the operator splitting is to separate the nonlinear but local reaction computations from the linear but globally coupled diffusion computations.
However, the whole chemical process may be hardly described sufficiently with the help of the usual approach based on the deterministic diffusion-kinetic computations and the stochastic Monte-Carlo simulations.
Trace of diffusion tensor map computation, ischemic volume determination and progression of the ischemic damage over time were as described [36].
A three-part acceleration scheme is devised to expedite convergence, particularly in the atomic mix-diffusion limit where computation is extremely slow.
Although the 2-D DFVM is unconditionally stable for linear advection-diffusion equations, preliminary computation showed that it is not the case for the extended PMEs if Δt is too large.
Nevertheless, we are here most interested in discussing the possible diffusion contribution to our computation results.
This was followed by computation of diffusion tensors and deterministic tractography using fiber assignment by a continuous tracking algorithm [15].
Considering the computation efficiency, diffusion equation is a widely used mathematic model in FMT.
It is difficult to estimate the parameter values of the morphogenetic substances in our simulations, because these values depend also on assumptions concerning somatic diameter, density of morphogen producing cells, computation of diffusion, etc.
The dominant factor of the computational cost of KLR is the computation of the diffusion kernel.
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