华侨大学学报（自然科学版）2024，Vol.45Issue(1)：108-120,13.DOI:10.11830/ISSN.1000-5013.202306029
Klein-Gordon-Schrödinger方程的几种差分格式及比较
Several Difference Schemes and Comparisons for Klein-Gordon-Schrödinger Equation
摘要
Abstract
Several difference schemes of one-dimensional Klein-Gordon-Schrödinger equation under specific initial val-ue and boundary conditions are investigated and contrasted.The classical forward difference operator,central differ-ence 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.关键词
Klein-Gordon-Schrödinger方程/向前Euler格式/Crank-Nicolson格式/紧差分格式/电荷守恒/能量守恒Key words
Klein-Gordon-Schrödinger equation/forward Euler scheme/Crank-Nicolson scheme/compact difference scheme/charge conservation/energy conservation分类
数理科学引用本文复制引用
林周瑾,汪佳玲,霍昱安..Klein-Gordon-Schrödinger方程的几种差分格式及比较[J].华侨大学学报（自然科学版）,2024,45(1):108-120,13.基金项目
国家自然科学基金青年基金资助项目(11801277) （11801277）
