احمدرضا حقیقی - Department of Mathematics, Allameh Tabatabai University, Tehran, ‎Iran.
فروزان رحیمیان - Department of Mathematics, Urmia University of Technology, Urmia, Iran.
نسیم عسگری - Department of Mathematics Islamic Azad University, Central Tehran Branch,Tehran, Iran.
- - - Department of Mathematics, School of Economics and Statistics, Guangzhou, China.

In this paper the differential quadrature method is implemented to find numerical solution of two and three-dimensional telegraphic equations with Dirichlet and Neumann's boundary values. This technique is according to exponential cubic B-spline functions. So, a modification on the exponential cubic B- spline is applied in order to use as a basis function in the DQ method. Therefore, the Telegraph equation (TE) is altered to a system of ordinary differential equations (ODEs). The optimized form of Runge-Kutta scheme has been implemented by four-stage and three-order strong stability preserving (SSPRK۴۳) to solve the resulting system of ODEs. We examined the correctness and applicability of this method by four examples of the TE.

Telegraph equation (TE), Exponential modified, Cubic B-spline function, SSP-RK۴۳, Differential. quadrature method