污染物大气扩散的分数阶导数模式
Fractional derivative models for atmospheric dispersion of pollutants
摘要：
在目前的工作中，我们调查的分数阶导数模拟污染物的大气扩散的潜力。我们提出了简单的分数阶微分方程模型的恒定状态空间发布的非活性污染物在大气边界层。我们解决这些模型，并将解决方案与实际实验进行比较。我们发现分数阶导数模型的表现远远好于传统的高斯模型，甚至比文献中发现的模型，它被认为是扩散系数是一个函数的位置，以处理异常扩散。
英文摘要：
In the present work, we investigate the potential of fractional derivatives to model atmospheric dispersion of pollutants. We propose simple fractional differential equation models for the steady state spatial distribution of concentration of a non-reactive pollutant in Planetary Boundary Layer. We solve these models and we compare the solutions with a real experiment. We found that the fractional derivative models perform far better than the traditional Gaussian model and even better than models found in the literature where it is considered that the diffusion coefficient is a function of the position in order to deal with the anomalous diffusion.
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