@Article{EAJAM-9-1, 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 = {https://global-sci.com/article/82598/an-unconditionally-stable-numerical-method-for-two-dimensional-hyperbolic-equations} }