@Article{JICS-16-118, author = {Zhang , Ying}, title = {An Explicit Finite Difference Scheme for Sine-Gordon Equation in Two Dimensions}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {16}, number = {2}, pages = {118--121}, abstract = {

In this paper, we aim to construct an explicit finite difference scheme for solving the two-dimensional sine–Gordon equation. By using Taylor expansion, we prove that the local truncation error of the scheme is of $o(h^2+\tau^2)$ with grid size $h$ and time step $\tau.$ Numerical results are reported to test the theoretical analysis.

}, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22369.html} }