@Article{IJNAM-22-2,
author = {Ming, Cui and Yanfei, Li},
title = {Energy-Conservative Finite Difference Method for the Coupled Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2025},
volume = {22},
number = {2},
pages = {246--267},
abstract = {<p style="text-align: justify;">In this paper, we propose an energy-conservative finite difference time domain (FDTD)
method for solving the coupled nonlinear Klein-Gordon equations (CNKGEs) in the nonrelativistic
limit regime, involving a small parameter $0 &lt; ε ≪ 1$ which is inversely proportional to the speed
of light. Employing cut-off technique, we analyze rigorously error estimates for the numerical
method. Numerical results are reported to confirm the energy-conservative property and the error
results in $l^2$ norm and $H^1$ norm under different values of $ε.$</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2025-1012},
url = {https://global-sci.com/article/91648/energy-conservative-finite-difference-method-for-the-coupled-nonlinear-klein-gordon-equation-in-the-nonrelativistic-limit-regime}
}