@Article{EAJAM-9-195, author = {}, title = {An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {1}, pages = {195--211}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.280118.100518 }, url = {http://global-sci.org/intro/article_detail/eajam/12942.html} }