@Article{AAMM-11-5,
author = {Yao, Shi and Qiang, Ma and Xiaohua, Ding},
title = {A New Energy-Preserving Scheme for the Fractional Klein-Gordon-Schrödinger Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2019},
volume = {11},
number = {5},
pages = {1219--1247},
abstract = {<p style="text-align: justify;">In this paper, we study a fourth-order quasi-compact conservative difference scheme for solving the fractional Klein-Gordon-Schrödinger equations. The scheme constructed in this work can preserve exactly the discrete charge and energy conservation laws under Dirichlet boundary conditions. By the energy method, the proposed quasi-compact conservative difference scheme is proved to be unconditionally stable and convergent with order $\mathcal{O}(\tau^{2}+h^{4})$ in maximum norm. Finally, several numerical examples are given to confirm the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2018-0157},
url = {https://global-sci.com/article/73152/a-new-energy-preserving-scheme-for-the-fractional-klein-gordon-schrodinger-equations}
}