Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new numerical algorithm for the solutions of hyperbolic partial
  differential equations in $(2+1)$-dimensional space   This paper deals with a construction of new algorithm: the modified
trigonometric cubic B-Spline differential quadrature (MTB-DQM) for space
discretization together with a time integration algorithm" for numerical
computation of the hyperbolic equations. Specially, MTB-DQM has been
implemented for the initial value system of the telegraph equations together
with both Dirichlet and Neumann type boundary conditions. The MTB-DQM is a DQM
based on modified trigonometric cubic B-splines as new base functions. The
problem has been reduced into an amenable system of ordinary differential
equations adopting MTB-DQM. The resulting system of ordinary differential
equations is solved using time integration algorithms. Further, the stability
of MTB-DQM is studied by computing the eigenvalues of the coefficients matrices
for various grid points, which confirmed the stability of MTB-DQM for the
telegraphic equations. The accuracy of the method has been illustrated in terms
of the various discrete error norms for six test problems of the telegraph
equation. A comparison of computed numerical solutions with that obtained by
the other methods has been carried out for various time levels considering
various space sizes

25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin