TY - JOUR
ID - 14155
TI - Numerical solution of the hyperbolic telegraph equation using cubic B-spline-based differential quadrature of high accuracy
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Babu, Athira
AU - Han, Bin
AU - Asharaf, Noufal
AD - Department of Mathematics, Cochin University of Science and Technology, Kerala, India.
AD - Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada.
AD - 1Department of Mathematics, Cochin University of Science and Technology, Kerala, India.
Y1 - 2022
PY - 2022
VL - 10
IS - 4
SP - 837
EP - 859
KW - Hyperbolic telegraph equation
KW - Differential quadrature method
KW - SSPRK scheme
KW - Modified cubic B-spline basis functions
KW - Discretization matrix
DO - 10.22034/cmde.2022.47744.1997
N2 - By 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.
UR - https://cmde.tabrizu.ac.ir/article_14155.html
L1 - https://cmde.tabrizu.ac.ir/article_14155_ac0c9aa1a25cdf45a8878888044c9eee.pdf
ER -