复Schrdinger场和实Klein-Gordon场相互作用下一类方程组的拟谱方法

Pseudo Spectral Method for Solving the Systemof Equations of Schrdinger-Klein-Gordon Field

本文建立了复Schrodinger场和实Klein—Gordon场相互作用下一类方程组的周期初值的拟谱格式,并得到了误差估计式‖x(nk)-x_c^n‖_1+‖∮(nk)-∮_c^n=O(k^2+n-(r-1))。

Abstract In this paper, we construct the conservative pseudo spectral scheme for the periodic initial-value problem for a system of equations of the complex Schodinger field, interacting with the real Klein-Gordon field and estimate the error which is |