Year: 2021
Author: Ying Zhang
Journal of Information and Computing Science, Vol. 16 (2021), Iss. 2 : pp. 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22369
Journal of Information and Computing Science, Vol. 16 (2021), Iss. 2 : pp. 118–121
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 4
Keywords: Nonlinear sine-Gordon equation Finite difference method.