Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Petrov-Galerkin spectral approximation method for the fractional
  diffusion, advection, reaction equation on a bounded interval   In this paper we investigate the numerical approximation of the fractional
diffusion, advection, reaction equation on a bounded interval. Recently the
explicit form of the solution to this equation was obtained. Using the explicit
form of the boundary behavior of the solution and Jacobi polynomials, a
Petrov-Galerkin approximation scheme is proposed and analyzed. Numerical
experiments are presented which support the theoretical results, and
demonstrate the accuracy and optimal convergence of the approximation method.

9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom