TY - JOUR
T1 - An Explicit Finite Difference Scheme for Sine-Gordon Equation in Two Dimensions
AU - Zhang , Ying
JO - Journal of Information and Computing Science
VL - 2
SP - 118
EP - 121
PY - 2024
DA - 2024/01
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22369.html
KW - Nonlinear sine-Gordon equation, Finite difference method.
AB - <p style="text-align: justify;">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.</p>