TY - JOUR
T1 - An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations
AU - Swarn Singh, Suruchi Singh & Rajni Arora
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 195
EP - 211
PY - 2019
DA - 2019/01
SN - 9
DO - http://doi.org/10.4208/eajam.280118.100518 
UR - https://global-sci.org/intro/article_detail/eajam/12942.html
KW - Collocation method, SSP-RK(2, 2), telegraph equation, tri-diagonal solver, unconditional stability.
AB - <p style="text-align: justify;">A collocation method based on exponential B-splines for two-dimensional
second-order non-linear hyperbolic equations is studied. The initial equation is split
into a system of coupled equations, each of which is transformed into a system of ordinary differential equations. The corresponding differential equations are solved by
SSP-RK(2,2) method. It is shown that the method under consideration is unconditionally stable. Numerical experiments demonstrate its efficiency and accuracy.</p>