University of TabrizComputational Methods for Differential Equations2345-398210420221001Numerical solution of the hyperbolic telegraph equation using cubic B-spline-based differential quadrature of high accuracy8378591415510.22034/cmde.2022.47744.1997ENAthiraBabuDepartment of Mathematics, Cochin University of Science and Technology, Kerala, India.BinHanDepartment of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada.NoufalAsharaf1Department of Mathematics, Cochin University of Science and Technology, Kerala, India.Journal Article20210902By constructing a newly modified cubic B-splines having the optimal accuracy order four, we propose a numerical scheme for solving the hyperbolic telegraph equation using a differential quadrature method. The spatial derivatives are approximated by the differential quadrature whose weight coefficients are computed using the newly modified cubic B-splines. Our modified cubic B-splines retain the tridiagonal structure and achieve the fourth order convergence rate. The solution of the associated ODEs is advanced in the time domain by the SSPRK scheme. The stability of the method is analyzed using the discretization matrix. Our numerical experiments demonstrate the better performance of our proposed scheme over several known numerical schemes reported in the literature.https://cmde.tabrizu.ac.ir/article_14155_ac0c9aa1a25cdf45a8878888044c9eee.pdf