Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of the finite difference scheme for a general class of the
  spatial segregation of reaction-diffusion systems   In this work we prove convergence of the finite difference scheme for
equations of stationary states of a general class of the spatial segregation of
reaction-diffusion systems with $m\geq 2$ components. More precisely, we show
that the numerical solution $u_h^l$, given by the difference scheme, converges
to the $l^{th}$ component $u_l,$ when the mesh size $h$ tends to zero, provided
$u_l\in C^2(\Omega),$ for every $l=1,2,\dots,m.$ In particular, our proof
provides convergence of a difference scheme for the multi-phase obstacle
problem.

21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex