摘要
探究在特定的初值和边界条件下一维Klein-Gordon-Schrodinger方程的几种差分格式并进行比较。利用经典的向前差分算子、中心差分算子、Crank-Nicolson方法和紧差分算子分别为Klein-Gordon-Schrodinger方程构造向前Euler式、Crank-Nicolson格式及紧差分格式。结果表明:Crank-Nicolson格式及紧差分格式能够精确地保持离散电荷和能量守恒。数值实验验证了理论结果的正确性。
Several difference schemes of one-dimensional Klein-Gordon-Schrodinger equation under specific initial value and boundary conditions are investigated and contrasted.The classical forward difference operator,central difference operator,Crank-Nicolson method and compact difference operator are used to construct forward Euler scheme,Crank-Nicolson scheme and compact difference scheme respectively.Results show that Crank-Nicolson scheme and the compact difference scheme can accurately conserve the discrete charge and energy conservation.The correctness of the theoretical result has been verified by numerical experiments.
作者
林周瑾
汪佳玲
霍昱安
LIN Zhoujin;WANG Jialing;HUO Yu′an(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China)
出处
《华侨大学学报(自然科学版)》
CAS
2024年第1期108-120,共13页
Journal of Huaqiao University(Natural Science)
基金
国家自然科学基金青年基金资助项目(11801277)。