  This paper developed a method called "modified exponential cubic B-Spline
differential quadrature (mExp-DQM) for space discretization together with a
time integration algorithm" for the numerical computation of hyperbolic
telegraph equation in $(2+1)$ dimension. The mExp-DQM is a new differential
quadrature method based on modified exponential cubic B-splines as basis which
reduces the problem into an amenable system of ordinary differential equations.
The resulting system is solved using a time integration algorithm. The
stability of the method is also studied by computing the eigenvalues of the
coefficients matrices, it is found that the scheme is conditionally stable. The
accuracy of the method is illustrated by computing the error between analytical
solutions and numerical solutions is measured by using $L_2$ and $L_{\infty}$
error norms for each problem. A comparison of mExp-DQM solutions with the
results of the other numerical methods has been carried out for various space
sizes and time step sizes.
