Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One
  Dimension   Occupation of an interval by self-replicating initial pulses is studied
numerically. Two different approximates in different categories are proposed
for the numerical solutions of some initial-boundary value problems. The sinc
differential quadrature combined with third-fourth order implicit Rosenbrock
and exponential B-spline collocation methods are setup to obtain the numerical
solutions of the mentioned problems. The numerical simulations containing
occupation of single initial pulse, non or slow occupation model and covering
the domain with two initial pulses are demonstrated by using both proposed
methods.

3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
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
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th