数学
Dirac(视频压缩格式)
克莱恩-戈登方程
非线性系统
数值分析
联轴节(管道)
应用数学
有限差分
网格
能量(信号处理)
工作(物理)
有限差分法
数学优化
数学分析
几何学
统计
工程类
物理
核物理学
机械工程
中微子
量子力学
作者
Ting-Chun Wang,Yue Cheng,Lihai Ji
标识
DOI:10.1016/j.apnum.2022.09.010
摘要
In this work, we propose and analyze finite difference methods for solving two-dimensional Klein–Gordon–Dirac (KGD) system. Due to the nonlinear coupling, it is a great challenge to design and analyze numerical methods for KGD system. To overcome this difficulty, two linearized, decoupled and conservative finite difference methods are presented, which are mass- and energy-conserved. By rigorous error estimates, the conservative methods converge with second-order accuracy in both spatial and temporal discretizations without any requirements on the grid ratios. Several numerical experiments are carried out to illustrate the performance of the proposed numerical methods.
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