Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High order algorithms for Fokker-Planck equation with Caputo-Fabrizio
  fractional derivative   Based on the continuous time random walk, we derive the Fokker-Planck
equations with Caputo-Fabrizio fractional derivative, which can effectively
model a variety of physical phenomena, especially, the material heterogeneities
and structures with different scales. Extending the discretizations for
fractional substantial calculus [Chen and Deng, \emph{ ESAIM: M2AN.}
\textbf{49}, (2015), 373--394], we first provide the numerical discretizations
of the Caputo-Fabrizio fractional derivative with the global truncation error
$\mathcal{O}(\tau^\nu)$ $ (\nu=1,2,3,4)$. Then we use the derived schemes to
solve the Caputo-Fabrizio fractional diffusion equation. By analysing the
positive definiteness of the stiffness matrices of the discretized
Caputo-Fabrizio operator, the unconditional stability and the convergence with
the global truncation error $\mathcal{O}(\tau^2+h^2)$ are theoretically proved
and numerical verified.

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The categories of this paper are: stat
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con