Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A higher order numerical scheme for singularly perturbed parabolic
  turning point problems exhibiting twin boundary layers   In this article, a parameter-uniform numerical method is presented to solve
one-dimensional singularly perturbed parabolic convection-diffusion turning
point problem exhibiting two exponential boundary layers. We study the
asymptotic behaviour of the solution and its partial derivatives. The problem
is discretized using the implicit Euler method for time discretization on a
uniform mesh and a hybrid scheme for spatial discretization on a generalized
Shishkin mesh. The scheme is shown to be $\varepsilon$-uniformly convergent of
order one in time direction and order two in spatial direction upto a
logarithmic factor. Numerical experiments are conducted to validate the
theoretical results. Comparison is done with upwind scheme on uniform mesh as
well as on standard Shishkin mesh to demonstrate the higher order accuracy of
the proposed scheme on a generalized Shishkin mesh. \end{abstract}
  \begin{keyword} Singular perturbation, parabolic convection-diffusion
equations, turning point, hybrid scheme, twin boundary layers, Shishkin mesh

21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ