Klein-Gordon-Schrödinger方程的几种差分格式及比较OACSTPCD

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.