Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacobi-Predictor-Corrector Approach for the Fractional Ordinary
  Differential Equations   We present a novel numerical method, called {\tt Jacobi-predictor-corrector
approach}, for the numerical solution of fractional ordinary differential
equations based on the polynomial interpolation and the Gauss-Lobatto
quadrature w.r.t. the Jacobi-weight function
$\omega(s)=(1-s)^{\alpha-1}(1+s)^0$. This method has the computational cost
O(N) and the convergent order $IN$, where $N$ and $IN$ are, respectively, the
total computational steps and the number of used interpolating points. The
detailed error analysis is performed, and the extensive numerical experiments
confirm the theoretical results and show the robustness of this method.

17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int